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Finding the Fourth Proportional to 8,149.96, 12,222.64 and 3,151.18

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Solution

The fourth proportional to 8,149.96, 12,222.64 and 3,151.18 is: 4,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.96 : 12,222.64 = 3,151.18 : x
  2. Step 2: Convert to fraction form
    8,149.96/12,222.64 = 3,151.18/x
  3. Step 3: Cross multiply
    8,149.96x = 12,222.64 × 3,151.18
  4. Step 4: Simplify right side
    8,149.96x = 38,515,738.72
  5. Step 5: Solve for x
    x = 38,515,738.72/8,149.96
  6. Step 6: Final answer
    x = 4,725.88

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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.