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Finding the Fourth Proportional to 8,441.62, 12,666.11 and 3,251.14

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Solution

The fourth proportional to 8,441.62, 12,666.11 and 3,251.14 is: 4,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.62 : 12,666.11 = 3,251.14 : x
  2. Step 2: Convert to fraction form
    8,441.62/12,666.11 = 3,251.14/x
  3. Step 3: Cross multiply
    8,441.62x = 12,666.11 × 3,251.14
  4. Step 4: Simplify right side
    8,441.62x = 41,179,248.94
  5. Step 5: Solve for x
    x = 41,179,248.94/8,441.62
  6. Step 6: Final answer
    x = 4,878.12

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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.