Find the fourth proportional to 8.6, 10.75, and 6.
7.5
If the fourth proportional to a, b, c is d, then \(a : b = c : d\), i.e., \(a \times d = b \times c\).
Here, a = 8.6, b = 10.75, c = 6, so \(d = \dfrac{b \times c}{a} = \dfrac{10.75 \times 6}{8.6}\).
\(d = \dfrac{64.5}{8.6} = 7.5\).
Hence, the fourth proportional is 7.5.
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