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Finding the Fourth Proportional to 10,747.92, 16,118.64 and 3,822

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Solution

The fourth proportional to 10,747.92, 16,118.64 and 3,822 is: 5,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.92 : 16,118.64 = 3,822 : x
  2. Step 2: Convert to fraction form
    10,747.92/16,118.64 = 3,822/x
  3. Step 3: Cross multiply
    10,747.92x = 16,118.64 × 3,822
  4. Step 4: Simplify right side
    10,747.92x = 61,605,442.08
  5. Step 5: Solve for x
    x = 61,605,442.08/10,747.92
  6. Step 6: Final answer
    x = 5,731.85

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