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Finding the Fourth Proportional to 8,149.72, 12,223.02 and 2,306.12

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Solution

The fourth proportional to 8,149.72, 12,223.02 and 2,306.12 is: 3,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.72 : 12,223.02 = 2,306.12 : x
  2. Step 2: Convert to fraction form
    8,149.72/12,223.02 = 2,306.12/x
  3. Step 3: Cross multiply
    8,149.72x = 12,223.02 × 2,306.12
  4. Step 4: Simplify right side
    8,149.72x = 28,187,750.88
  5. Step 5: Solve for x
    x = 28,187,750.88/8,149.72
  6. Step 6: Final answer
    x = 3,458.74

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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.