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Finding the Fourth Proportional to 10,229.74, 15,344.90 and 3,989.50

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Solution

The fourth proportional to 10,229.74, 15,344.90 and 3,989.50 is: 5,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.74 : 15,344.90 = 3,989.50 : x
  2. Step 2: Convert to fraction form
    10,229.74/15,344.90 = 3,989.50/x
  3. Step 3: Cross multiply
    10,229.74x = 15,344.90 × 3,989.50
  4. Step 4: Simplify right side
    10,229.74x = 61,218,450.16
  5. Step 5: Solve for x
    x = 61,218,450.16/10,229.74
  6. Step 6: Final answer
    x = 5,984.36

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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.