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Finding the Fourth Proportional to 8,042.38, 12,063.13 and 2,198.57

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Solution

The fourth proportional to 8,042.38, 12,063.13 and 2,198.57 is: 3,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.38 : 12,063.13 = 2,198.57 : x
  2. Step 2: Convert to fraction form
    8,042.38/12,063.13 = 2,198.57/x
  3. Step 3: Cross multiply
    8,042.38x = 12,063.13 × 2,198.57
  4. Step 4: Simplify right side
    8,042.38x = 26,521,569.91
  5. Step 5: Solve for x
    x = 26,521,569.91/8,042.38
  6. Step 6: Final answer
    x = 3,297.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.