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Finding the Fourth Proportional to 8,179.67, 11,287.82 and 4,822.62

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Solution

The fourth proportional to 8,179.67, 11,287.82 and 4,822.62 is: 6,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.67 : 11,287.82 = 4,822.62 : x
  2. Step 2: Convert to fraction form
    8,179.67/11,287.82 = 4,822.62/x
  3. Step 3: Cross multiply
    8,179.67x = 11,287.82 × 4,822.62
  4. Step 4: Simplify right side
    8,179.67x = 54,436,842.38
  5. Step 5: Solve for x
    x = 54,436,842.38/8,179.67
  6. Step 6: Final answer
    x = 6,655.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.