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Finding the Fourth Proportional to 10,041.71, 13,857.17 and 5,565.35

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Solution

The fourth proportional to 10,041.71, 13,857.17 and 5,565.35 is: 7,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.71 : 13,857.17 = 5,565.35 : x
  2. Step 2: Convert to fraction form
    10,041.71/13,857.17 = 5,565.35/x
  3. Step 3: Cross multiply
    10,041.71x = 13,857.17 × 5,565.35
  4. Step 4: Simplify right side
    10,041.71x = 77,119,945.69
  5. Step 5: Solve for x
    x = 77,119,945.69/10,041.71
  6. Step 6: Final answer
    x = 7,679.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.