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Finding the Fourth Proportional to 10,564.76, 15,841.78 and 3,542.32

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Solution

The fourth proportional to 10,564.76, 15,841.78 and 3,542.32 is: 5,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.76 : 15,841.78 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    10,564.76/15,841.78 = 3,542.32/x
  3. Step 3: Cross multiply
    10,564.76x = 15,841.78 × 3,542.32
  4. Step 4: Simplify right side
    10,564.76x = 56,116,654.13
  5. Step 5: Solve for x
    x = 56,116,654.13/10,564.76
  6. Step 6: Final answer
    x = 5,311.68

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