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Finding the Fourth Proportional to 10,100.20, 15,138.15 and 5,167.30

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Solution

The fourth proportional to 10,100.20, 15,138.15 and 5,167.30 is: 7,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.20 : 15,138.15 = 5,167.30 : x
  2. Step 2: Convert to fraction form
    10,100.20/15,138.15 = 5,167.30/x
  3. Step 3: Cross multiply
    10,100.20x = 15,138.15 × 5,167.30
  4. Step 4: Simplify right side
    10,100.20x = 78,223,362.50
  5. Step 5: Solve for x
    x = 78,223,362.50/10,100.20
  6. Step 6: Final answer
    x = 7,744.73

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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.