1. The problem involves understanding ratios and proportions. 2. We are given a ratio of 7:4 and quantities 44 litres and 8 litres. 3. First, check if 44 litres corresponds to the 7 parts or the 4 parts in the ratio. 4. Calculate the value of one part if 44 litres corresponds to 7 parts: $$\text{one part} = \frac{44}{7} = 6.2857 \text{ litres}$$ 5. Calculate the quantity corresponding to 4 parts: $$4 \times 6.2857 = 25.1428 \text{ litres}$$ 6. Since 8 litres is given, it does not match 25.1428 litres, so 44 litres likely corresponds to 4 parts. 7. Calculate the value of one part if 44 litres corresponds to 4 parts: $$\text{one part} = \frac{44}{4} = 11 \text{ litres}$$ 8. Calculate the quantity corresponding to 7 parts: $$7 \times 11 = 77 \text{ litres}$$ 9. Since 8 litres is given and does not match 77 litres, the quantities 44 litres and 8 litres do not directly fit the ratio 7:4. 10. To find the missing quantity that fits the ratio with 8 litres, assume 8 litres corresponds to 4 parts, then one part is $$\frac{8}{4} = 2 \text{ litres}$$. 11. Calculate the quantity for 7 parts: $$7 \times 2 = 14 \text{ litres}$$. 12. Therefore, if 8 litres corresponds to 4 parts, the corresponding 7 parts quantity is 14 litres. 13. Summary: The ratio 7:4 means for every 7 parts of one quantity, there are 4 parts of another. Given 8 litres for 4 parts, the 7 parts quantity is 14 litres.