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Finding the Fourth Proportional to 8,151.17, 12,227.78 and 2,884.95

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Solution

The fourth proportional to 8,151.17, 12,227.78 and 2,884.95 is: 4,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.17 : 12,227.78 = 2,884.95 : x
  2. Step 2: Convert to fraction form
    8,151.17/12,227.78 = 2,884.95/x
  3. Step 3: Cross multiply
    8,151.17x = 12,227.78 × 2,884.95
  4. Step 4: Simplify right side
    8,151.17x = 35,276,541.12
  5. Step 5: Solve for x
    x = 35,276,541.12/8,151.17
  6. Step 6: Final answer
    x = 4,327.79

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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.