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Finding the Fourth Proportional to 8,203.43, 12,306.36 and 2,654.93

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Solution

The fourth proportional to 8,203.43, 12,306.36 and 2,654.93 is: 3,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.43 : 12,306.36 = 2,654.93 : x
  2. Step 2: Convert to fraction form
    8,203.43/12,306.36 = 2,654.93/x
  3. Step 3: Cross multiply
    8,203.43x = 12,306.36 × 2,654.93
  4. Step 4: Simplify right side
    8,203.43x = 32,672,545.16
  5. Step 5: Solve for x
    x = 32,672,545.16/8,203.43
  6. Step 6: Final answer
    x = 3,982.79

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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.