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Finding the Fourth Proportional to 11,727.52, 17,589.08 and 5,882.56

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Solution

The fourth proportional to 11,727.52, 17,589.08 and 5,882.56 is: 8,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.52 : 17,589.08 = 5,882.56 : x
  2. Step 2: Convert to fraction form
    11,727.52/17,589.08 = 5,882.56/x
  3. Step 3: Cross multiply
    11,727.52x = 17,589.08 × 5,882.56
  4. Step 4: Simplify right side
    11,727.52x = 103,468,818.44
  5. Step 5: Solve for x
    x = 103,468,818.44/11,727.52
  6. Step 6: Final answer
    x = 8,822.74

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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.