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Finding the Fourth Proportional to 10,397.73, 14,348.82 and 6,151.71

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Solution

The fourth proportional to 10,397.73, 14,348.82 and 6,151.71 is: 8,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.73 : 14,348.82 = 6,151.71 : x
  2. Step 2: Convert to fraction form
    10,397.73/14,348.82 = 6,151.71/x
  3. Step 3: Cross multiply
    10,397.73x = 14,348.82 × 6,151.71
  4. Step 4: Simplify right side
    10,397.73x = 88,269,779.48
  5. Step 5: Solve for x
    x = 88,269,779.48/10,397.73
  6. Step 6: Final answer
    x = 8,489.33

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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.