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Finding the Fourth Proportional to 8,122.68, 12,183.48 and 4,229.28

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Solution

The fourth proportional to 8,122.68, 12,183.48 and 4,229.28 is: 6,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.68 : 12,183.48 = 4,229.28 : x
  2. Step 2: Convert to fraction form
    8,122.68/12,183.48 = 4,229.28/x
  3. Step 3: Cross multiply
    8,122.68x = 12,183.48 × 4,229.28
  4. Step 4: Simplify right side
    8,122.68x = 51,527,348.29
  5. Step 5: Solve for x
    x = 51,527,348.29/8,122.68
  6. Step 6: Final answer
    x = 6,343.64

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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.