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Finding the Fourth Proportional to 8,149.72, 12,223.02 and 2,304.92

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Solution

The fourth proportional to 8,149.72, 12,223.02 and 2,304.92 is: 3,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.72 : 12,223.02 = 2,304.92 : x
  2. Step 2: Convert to fraction form
    8,149.72/12,223.02 = 2,304.92/x
  3. Step 3: Cross multiply
    8,149.72x = 12,223.02 × 2,304.92
  4. Step 4: Simplify right side
    8,149.72x = 28,173,083.26
  5. Step 5: Solve for x
    x = 28,173,083.26/8,149.72
  6. Step 6: Final answer
    x = 3,456.94

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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.