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Finding the Fourth Proportional to 10,565.75, 15,854.09 and 5,371.63

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Solution

The fourth proportional to 10,565.75, 15,854.09 and 5,371.63 is: 8,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.75 : 15,854.09 = 5,371.63 : x
  2. Step 2: Convert to fraction form
    10,565.75/15,854.09 = 5,371.63/x
  3. Step 3: Cross multiply
    10,565.75x = 15,854.09 × 5,371.63
  4. Step 4: Simplify right side
    10,565.75x = 85,162,305.47
  5. Step 5: Solve for x
    x = 85,162,305.47/10,565.75
  6. Step 6: Final answer
    x = 8,060.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.