Explanation:

- The average of ten numbers is 32.5, so their total is 325.

- The average of the first four numbers is 25.6, so their total is 102.4.

- The average of the last three numbers is 38.2, so their total is 114.6.

- Let’s denote the 5th number as 1.5x (since it is 50% more than the 6th number, which is x).

- The 5th number is also 8 less than the 7th number, so the 7th number is 1.5x + 8.

- The total for the 5th, 6th, and 7th numbers is 1.5x + x + (1.5x + 8) = 4x + 8.

- Sum of 5th to 7th numbers is 108 (325 - 102.4 - 114.6).

- Therefore, 4x + 8 = 108, solving gives x = 25 and 5th number = 37.5, 7th number = 45.5.

- The average of the 5th and 7th numbers is (37.5 + 45.5) / 2 = 41.5.

Option 4: 41.5 is correct.

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