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Finding the Fourth Proportional to 8,229.68, 12,344.24 and 3,297.99

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Solution

The fourth proportional to 8,229.68, 12,344.24 and 3,297.99 is: 4,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.68 : 12,344.24 = 3,297.99 : x
  2. Step 2: Convert to fraction form
    8,229.68/12,344.24 = 3,297.99/x
  3. Step 3: Cross multiply
    8,229.68x = 12,344.24 × 3,297.99
  4. Step 4: Simplify right side
    8,229.68x = 40,711,163.59
  5. Step 5: Solve for x
    x = 40,711,163.59/8,229.68
  6. Step 6: Final answer
    x = 4,946.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.