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Finding the Fourth Proportional to 10,142.73, 13,996.97 and 5,666.49

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Solution

The fourth proportional to 10,142.73, 13,996.97 and 5,666.49 is: 7,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.73 : 13,996.97 = 5,666.49 : x
  2. Step 2: Convert to fraction form
    10,142.73/13,996.97 = 5,666.49/x
  3. Step 3: Cross multiply
    10,142.73x = 13,996.97 × 5,666.49
  4. Step 4: Simplify right side
    10,142.73x = 79,313,690.54
  5. Step 5: Solve for x
    x = 79,313,690.54/10,142.73
  6. Step 6: Final answer
    x = 7,819.76

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