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Finding the Fourth Proportional to 8,115.49, 12,174.60 and 2,568.71

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Solution

The fourth proportional to 8,115.49, 12,174.60 and 2,568.71 is: 3,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.49 : 12,174.60 = 2,568.71 : x
  2. Step 2: Convert to fraction form
    8,115.49/12,174.60 = 2,568.71/x
  3. Step 3: Cross multiply
    8,115.49x = 12,174.60 × 2,568.71
  4. Step 4: Simplify right side
    8,115.49x = 31,273,056.84
  5. Step 5: Solve for x
    x = 31,273,056.84/8,115.49
  6. Step 6: Final answer
    x = 3,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.