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Finding the Fourth Proportional to 8,489.28, 12,725.16 and 3,561.78

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Solution

The fourth proportional to 8,489.28, 12,725.16 and 3,561.78 is: 5,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.28 : 12,725.16 = 3,561.78 : x
  2. Step 2: Convert to fraction form
    8,489.28/12,725.16 = 3,561.78/x
  3. Step 3: Cross multiply
    8,489.28x = 12,725.16 × 3,561.78
  4. Step 4: Simplify right side
    8,489.28x = 45,324,220.38
  5. Step 5: Solve for x
    x = 45,324,220.38/8,489.28
  6. Step 6: Final answer
    x = 5,338.99

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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.