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Finding the Fourth Proportional to 8,151.96, 12,227.22 and 2,957.88

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Solution

The fourth proportional to 8,151.96, 12,227.22 and 2,957.88 is: 4,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.96 : 12,227.22 = 2,957.88 : x
  2. Step 2: Convert to fraction form
    8,151.96/12,227.22 = 2,957.88/x
  3. Step 3: Cross multiply
    8,151.96x = 12,227.22 × 2,957.88
  4. Step 4: Simplify right side
    8,151.96x = 36,166,649.49
  5. Step 5: Solve for x
    x = 36,166,649.49/8,151.96
  6. Step 6: Final answer
    x = 4,436.56

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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.