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Finding the Fourth Proportional to 11,589.41, 17,390.50 and 6,324.20

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Solution

The fourth proportional to 11,589.41, 17,390.50 and 6,324.20 is: 9,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.41 : 17,390.50 = 6,324.20 : x
  2. Step 2: Convert to fraction form
    11,589.41/17,390.50 = 6,324.20/x
  3. Step 3: Cross multiply
    11,589.41x = 17,390.50 × 6,324.20
  4. Step 4: Simplify right side
    11,589.41x = 109,981,000.10
  5. Step 5: Solve for x
    x = 109,981,000.10/11,589.41
  6. Step 6: Final answer
    x = 9,489.78

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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.