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Finding the Fourth Proportional to 7,400.76, 10,213.20 and 4,257.15

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Solution

The fourth proportional to 7,400.76, 10,213.20 and 4,257.15 is: 5,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.76 : 10,213.20 = 4,257.15 : x
  2. Step 2: Convert to fraction form
    7,400.76/10,213.20 = 4,257.15/x
  3. Step 3: Cross multiply
    7,400.76x = 10,213.20 × 4,257.15
  4. Step 4: Simplify right side
    7,400.76x = 43,479,124.38
  5. Step 5: Solve for x
    x = 43,479,124.38/7,400.76
  6. Step 6: Final answer
    x = 5,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.