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Finding the Fourth Proportional to 8,511.92, 11,747.24 and 5,155.56

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Solution

The fourth proportional to 8,511.92, 11,747.24 and 5,155.56 is: 7,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.92 : 11,747.24 = 5,155.56 : x
  2. Step 2: Convert to fraction form
    8,511.92/11,747.24 = 5,155.56/x
  3. Step 3: Cross multiply
    8,511.92x = 11,747.24 × 5,155.56
  4. Step 4: Simplify right side
    8,511.92x = 60,563,600.65
  5. Step 5: Solve for x
    x = 60,563,600.65/8,511.92
  6. Step 6: Final answer
    x = 7,115.15

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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.