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Finding the Fourth Proportional to 8,469.24, 12,647.55 and 8,377.71

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Solution

The fourth proportional to 8,469.24, 12,647.55 and 8,377.71 is: 12,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.24 : 12,647.55 = 8,377.71 : x
  2. Step 2: Convert to fraction form
    8,469.24/12,647.55 = 8,377.71/x
  3. Step 3: Cross multiply
    8,469.24x = 12,647.55 × 8,377.71
  4. Step 4: Simplify right side
    8,469.24x = 105,957,506.11
  5. Step 5: Solve for x
    x = 105,957,506.11/8,469.24
  6. Step 6: Final answer
    x = 12,510.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.