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Finding the Fourth Proportional to 8,151.24, 12,207.24 and 5,645.52

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Solution

The fourth proportional to 8,151.24, 12,207.24 and 5,645.52 is: 8,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.24 : 12,207.24 = 5,645.52 : x
  2. Step 2: Convert to fraction form
    8,151.24/12,207.24 = 5,645.52/x
  3. Step 3: Cross multiply
    8,151.24x = 12,207.24 × 5,645.52
  4. Step 4: Simplify right side
    8,151.24x = 68,916,217.56
  5. Step 5: Solve for x
    x = 68,916,217.56/8,151.24
  6. Step 6: Final answer
    x = 8,454.69

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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.