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Finding the Fourth Proportional to 9,083.80, 12,535.24 and 5,104.92

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Solution

The fourth proportional to 9,083.80, 12,535.24 and 5,104.92 is: 7,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.80 : 12,535.24 = 5,104.92 : x
  2. Step 2: Convert to fraction form
    9,083.80/12,535.24 = 5,104.92/x
  3. Step 3: Cross multiply
    9,083.80x = 12,535.24 × 5,104.92
  4. Step 4: Simplify right side
    9,083.80x = 63,991,397.38
  5. Step 5: Solve for x
    x = 63,991,397.38/9,083.80
  6. Step 6: Final answer
    x = 7,044.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.