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Finding the Fourth Proportional to 8,152.71, 12,229.13 and 2,887.74

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Solution

The fourth proportional to 8,152.71, 12,229.13 and 2,887.74 is: 4,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.71 : 12,229.13 = 2,887.74 : x
  2. Step 2: Convert to fraction form
    8,152.71/12,229.13 = 2,887.74/x
  3. Step 3: Cross multiply
    8,152.71x = 12,229.13 × 2,887.74
  4. Step 4: Simplify right side
    8,152.71x = 35,314,600.94
  5. Step 5: Solve for x
    x = 35,314,600.94/8,152.71
  6. Step 6: Final answer
    x = 4,331.64

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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.