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Finding the Fourth Proportional to 10,935.80, 16,382.10 and 6,540.20

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Solution

The fourth proportional to 10,935.80, 16,382.10 and 6,540.20 is: 9,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.80 : 16,382.10 = 6,540.20 : x
  2. Step 2: Convert to fraction form
    10,935.80/16,382.10 = 6,540.20/x
  3. Step 3: Cross multiply
    10,935.80x = 16,382.10 × 6,540.20
  4. Step 4: Simplify right side
    10,935.80x = 107,142,210.42
  5. Step 5: Solve for x
    x = 107,142,210.42/10,935.80
  6. Step 6: Final answer
    x = 9,797.38

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