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Finding the Fourth Proportional to 8,229.82, 12,349.17 and 5,457.79

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Solution

The fourth proportional to 8,229.82, 12,349.17 and 5,457.79 is: 8,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.82 : 12,349.17 = 5,457.79 : x
  2. Step 2: Convert to fraction form
    8,229.82/12,349.17 = 5,457.79/x
  3. Step 3: Cross multiply
    8,229.82x = 12,349.17 × 5,457.79
  4. Step 4: Simplify right side
    8,229.82x = 67,399,176.53
  5. Step 5: Solve for x
    x = 67,399,176.53/8,229.82
  6. Step 6: Final answer
    x = 8,189.63

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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.