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Finding the Fourth Proportional to 8,066.92, 12,097.48 and 2,871.76

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Solution

The fourth proportional to 8,066.92, 12,097.48 and 2,871.76 is: 4,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.92 : 12,097.48 = 2,871.76 : x
  2. Step 2: Convert to fraction form
    8,066.92/12,097.48 = 2,871.76/x
  3. Step 3: Cross multiply
    8,066.92x = 12,097.48 × 2,871.76
  4. Step 4: Simplify right side
    8,066.92x = 34,741,059.16
  5. Step 5: Solve for x
    x = 34,741,059.16/8,066.92
  6. Step 6: Final answer
    x = 4,306.61

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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.