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Finding the Fourth Proportional to 11,757.52, 16,219.59 and 8,565.85

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Solution

The fourth proportional to 11,757.52, 16,219.59 and 8,565.85 is: 11,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.52 : 16,219.59 = 8,565.85 : x
  2. Step 2: Convert to fraction form
    11,757.52/16,219.59 = 8,565.85/x
  3. Step 3: Cross multiply
    11,757.52x = 16,219.59 × 8,565.85
  4. Step 4: Simplify right side
    11,757.52x = 138,934,493.90
  5. Step 5: Solve for x
    x = 138,934,493.90/11,757.52
  6. Step 6: Final answer
    x = 11,816.65

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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.