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Finding the Fourth Proportional to 11,691.92, 17,509.86 and 8,520.86

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Solution

The fourth proportional to 11,691.92, 17,509.86 and 8,520.86 is: 12,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.92 : 17,509.86 = 8,520.86 : x
  2. Step 2: Convert to fraction form
    11,691.92/17,509.86 = 8,520.86/x
  3. Step 3: Cross multiply
    11,691.92x = 17,509.86 × 8,520.86
  4. Step 4: Simplify right side
    11,691.92x = 149,199,065.68
  5. Step 5: Solve for x
    x = 149,199,065.68/11,691.92
  6. Step 6: Final answer
    x = 12,760.87

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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.