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Finding the Fourth Proportional to 7,115.38, 9,819.20 and 3,971.54

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Solution

The fourth proportional to 7,115.38, 9,819.20 and 3,971.54 is: 5,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.38 : 9,819.20 = 3,971.54 : x
  2. Step 2: Convert to fraction form
    7,115.38/9,819.20 = 3,971.54/x
  3. Step 3: Cross multiply
    7,115.38x = 9,819.20 × 3,971.54
  4. Step 4: Simplify right side
    7,115.38x = 38,997,345.57
  5. Step 5: Solve for x
    x = 38,997,345.57/7,115.38
  6. Step 6: Final answer
    x = 5,480.71

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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.