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Finding the Fourth Proportional to 8,122.72, 12,180.24 and 3,738.88

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Solution

The fourth proportional to 8,122.72, 12,180.24 and 3,738.88 is: 5,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.72 : 12,180.24 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    8,122.72/12,180.24 = 3,738.88/x
  3. Step 3: Cross multiply
    8,122.72x = 12,180.24 × 3,738.88
  4. Step 4: Simplify right side
    8,122.72x = 45,540,455.73
  5. Step 5: Solve for x
    x = 45,540,455.73/8,122.72
  6. Step 6: Final answer
    x = 5,606.55

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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.