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Finding the Fourth Proportional to 7,814.67, 11,721.39 and 3,432.16

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Solution

The fourth proportional to 7,814.67, 11,721.39 and 3,432.16 is: 5,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.67 : 11,721.39 = 3,432.16 : x
  2. Step 2: Convert to fraction form
    7,814.67/11,721.39 = 3,432.16/x
  3. Step 3: Cross multiply
    7,814.67x = 11,721.39 × 3,432.16
  4. Step 4: Simplify right side
    7,814.67x = 40,229,685.90
  5. Step 5: Solve for x
    x = 40,229,685.90/7,814.67
  6. Step 6: Final answer
    x = 5,147.97

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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.