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Finding the Fourth Proportional to 10,494.06, 15,742.65 and 6,542.10

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Solution

The fourth proportional to 10,494.06, 15,742.65 and 6,542.10 is: 9,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.06 : 15,742.65 = 6,542.10 : x
  2. Step 2: Convert to fraction form
    10,494.06/15,742.65 = 6,542.10/x
  3. Step 3: Cross multiply
    10,494.06x = 15,742.65 × 6,542.10
  4. Step 4: Simplify right side
    10,494.06x = 102,989,990.57
  5. Step 5: Solve for x
    x = 102,989,990.57/10,494.06
  6. Step 6: Final answer
    x = 9,814.12

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