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Finding the Fourth Proportional to 10,428.56, 15,641.92 and 3,854.80

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Solution

The fourth proportional to 10,428.56, 15,641.92 and 3,854.80 is: 5,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.56 : 15,641.92 = 3,854.80 : x
  2. Step 2: Convert to fraction form
    10,428.56/15,641.92 = 3,854.80/x
  3. Step 3: Cross multiply
    10,428.56x = 15,641.92 × 3,854.80
  4. Step 4: Simplify right side
    10,428.56x = 60,296,473.22
  5. Step 5: Solve for x
    x = 60,296,473.22/10,428.56
  6. Step 6: Final answer
    x = 5,781.86

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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.