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Finding the Fourth Proportional to 10,042.20, 13,856.76 and 5,565.60

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Solution

The fourth proportional to 10,042.20, 13,856.76 and 5,565.60 is: 7,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.20 : 13,856.76 = 5,565.60 : x
  2. Step 2: Convert to fraction form
    10,042.20/13,856.76 = 5,565.60/x
  3. Step 3: Cross multiply
    10,042.20x = 13,856.76 × 5,565.60
  4. Step 4: Simplify right side
    10,042.20x = 77,121,183.46
  5. Step 5: Solve for x
    x = 77,121,183.46/10,042.20
  6. Step 6: Final answer
    x = 7,679.71

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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.