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Finding the Fourth Proportional to 8,034.38, 12,042.33 and 3,101.86

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Solution

The fourth proportional to 8,034.38, 12,042.33 and 3,101.86 is: 4,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.38 : 12,042.33 = 3,101.86 : x
  2. Step 2: Convert to fraction form
    8,034.38/12,042.33 = 3,101.86/x
  3. Step 3: Cross multiply
    8,034.38x = 12,042.33 × 3,101.86
  4. Step 4: Simplify right side
    8,034.38x = 37,353,621.73
  5. Step 5: Solve for x
    x = 37,353,621.73/8,034.38
  6. Step 6: Final answer
    x = 4,649.22

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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.