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Finding the Fourth Proportional to 10,129.98, 15,194.68 and 5,687.62

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Solution

The fourth proportional to 10,129.98, 15,194.68 and 5,687.62 is: 8,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.98 : 15,194.68 = 5,687.62 : x
  2. Step 2: Convert to fraction form
    10,129.98/15,194.68 = 5,687.62/x
  3. Step 3: Cross multiply
    10,129.98x = 15,194.68 × 5,687.62
  4. Step 4: Simplify right side
    10,129.98x = 86,421,565.86
  5. Step 5: Solve for x
    x = 86,421,565.86/10,129.98
  6. Step 6: Final answer
    x = 8,531.27

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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.