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Finding the Fourth Proportional to 8,589.24, 12,884.10 and 3,042.78

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Solution

The fourth proportional to 8,589.24, 12,884.10 and 3,042.78 is: 4,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.24 : 12,884.10 = 3,042.78 : x
  2. Step 2: Convert to fraction form
    8,589.24/12,884.10 = 3,042.78/x
  3. Step 3: Cross multiply
    8,589.24x = 12,884.10 × 3,042.78
  4. Step 4: Simplify right side
    8,589.24x = 39,203,481.80
  5. Step 5: Solve for x
    x = 39,203,481.80/8,589.24
  6. Step 6: Final answer
    x = 4,564.26

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