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Finding the Fourth Proportional to 10,425.65, 15,632.80 and 5,149.10

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Solution

The fourth proportional to 10,425.65, 15,632.80 and 5,149.10 is: 7,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.65 : 15,632.80 = 5,149.10 : x
  2. Step 2: Convert to fraction form
    10,425.65/15,632.80 = 5,149.10/x
  3. Step 3: Cross multiply
    10,425.65x = 15,632.80 × 5,149.10
  4. Step 4: Simplify right side
    10,425.65x = 80,494,876.69
  5. Step 5: Solve for x
    x = 80,494,876.69/10,425.65
  6. Step 6: Final answer
    x = 7,720.85

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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.