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Finding the Fourth Proportional to 7,138.08, 9,850.38 and 3,951.30

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Solution

The fourth proportional to 7,138.08, 9,850.38 and 3,951.30 is: 5,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.08 : 9,850.38 = 3,951.30 : x
  2. Step 2: Convert to fraction form
    7,138.08/9,850.38 = 3,951.30/x
  3. Step 3: Cross multiply
    7,138.08x = 9,850.38 × 3,951.30
  4. Step 4: Simplify right side
    7,138.08x = 38,921,806.49
  5. Step 5: Solve for x
    x = 38,921,806.49/7,138.08
  6. Step 6: Final answer
    x = 5,452.70

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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.