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Finding the Fourth Proportional to 8,229.52, 12,328.62 and 5,099.68

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Solution

The fourth proportional to 8,229.52, 12,328.62 and 5,099.68 is: 7,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.52 : 12,328.62 = 5,099.68 : x
  2. Step 2: Convert to fraction form
    8,229.52/12,328.62 = 5,099.68/x
  3. Step 3: Cross multiply
    8,229.52x = 12,328.62 × 5,099.68
  4. Step 4: Simplify right side
    8,229.52x = 62,872,016.84
  5. Step 5: Solve for x
    x = 62,872,016.84/8,229.52
  6. Step 6: Final answer
    x = 7,639.82

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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.