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Finding the Fourth Proportional to 8,147.91, 12,223.87 and 2,601.25

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Solution

The fourth proportional to 8,147.91, 12,223.87 and 2,601.25 is: 3,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.91 : 12,223.87 = 2,601.25 : x
  2. Step 2: Convert to fraction form
    8,147.91/12,223.87 = 2,601.25/x
  3. Step 3: Cross multiply
    8,147.91x = 12,223.87 × 2,601.25
  4. Step 4: Simplify right side
    8,147.91x = 31,797,328.83
  5. Step 5: Solve for x
    x = 31,797,328.83/8,147.91
  6. Step 6: Final answer
    x = 3,902.51

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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.