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Finding the Fourth Proportional to 8,150.54, 12,223.85 and 3,763.78

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Solution

The fourth proportional to 8,150.54, 12,223.85 and 3,763.78 is: 5,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.54 : 12,223.85 = 3,763.78 : x
  2. Step 2: Convert to fraction form
    8,150.54/12,223.85 = 3,763.78/x
  3. Step 3: Cross multiply
    8,150.54x = 12,223.85 × 3,763.78
  4. Step 4: Simplify right side
    8,150.54x = 46,007,882.15
  5. Step 5: Solve for x
    x = 46,007,882.15/8,150.54
  6. Step 6: Final answer
    x = 5,644.76

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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.