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Finding the Fourth Proportional to 10,103.42, 15,149.19 and 3,863.90

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Solution

The fourth proportional to 10,103.42, 15,149.19 and 3,863.90 is: 5,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.42 : 15,149.19 = 3,863.90 : x
  2. Step 2: Convert to fraction form
    10,103.42/15,149.19 = 3,863.90/x
  3. Step 3: Cross multiply
    10,103.42x = 15,149.19 × 3,863.90
  4. Step 4: Simplify right side
    10,103.42x = 58,534,879.50
  5. Step 5: Solve for x
    x = 58,534,879.50/10,103.42
  6. Step 6: Final answer
    x = 5,793.57

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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.