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Finding the Fourth Proportional to 11,704.13, 17,545.76 and 4,306.80

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Solution

The fourth proportional to 11,704.13, 17,545.76 and 4,306.80 is: 6,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.13 : 17,545.76 = 4,306.80 : x
  2. Step 2: Convert to fraction form
    11,704.13/17,545.76 = 4,306.80/x
  3. Step 3: Cross multiply
    11,704.13x = 17,545.76 × 4,306.80
  4. Step 4: Simplify right side
    11,704.13x = 75,566,057.63
  5. Step 5: Solve for x
    x = 75,566,057.63/11,704.13
  6. Step 6: Final answer
    x = 6,456.36

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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.