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Finding the Fourth Proportional to 8,195.43, 12,291.93 and 4,034.31

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Solution

The fourth proportional to 8,195.43, 12,291.93 and 4,034.31 is: 6,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.43 : 12,291.93 = 4,034.31 : x
  2. Step 2: Convert to fraction form
    8,195.43/12,291.93 = 4,034.31/x
  3. Step 3: Cross multiply
    8,195.43x = 12,291.93 × 4,034.31
  4. Step 4: Simplify right side
    8,195.43x = 49,589,456.12
  5. Step 5: Solve for x
    x = 49,589,456.12/8,195.43
  6. Step 6: Final answer
    x = 6,050.87

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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.