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Finding the Fourth Proportional to 8,578.85, 12,866.13 and 5,822.62

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Solution

The fourth proportional to 8,578.85, 12,866.13 and 5,822.62 is: 8,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.85 : 12,866.13 = 5,822.62 : x
  2. Step 2: Convert to fraction form
    8,578.85/12,866.13 = 5,822.62/x
  3. Step 3: Cross multiply
    8,578.85x = 12,866.13 × 5,822.62
  4. Step 4: Simplify right side
    8,578.85x = 74,914,553.70
  5. Step 5: Solve for x
    x = 74,914,553.70/8,578.85
  6. Step 6: Final answer
    x = 8,732.48

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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.