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Finding the Fourth Proportional to 8,589.50, 12,884.24 and 4,426.91

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Solution

The fourth proportional to 8,589.50, 12,884.24 and 4,426.91 is: 6,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.50 : 12,884.24 = 4,426.91 : x
  2. Step 2: Convert to fraction form
    8,589.50/12,884.24 = 4,426.91/x
  3. Step 3: Cross multiply
    8,589.50x = 12,884.24 × 4,426.91
  4. Step 4: Simplify right side
    8,589.50x = 57,037,317.54
  5. Step 5: Solve for x
    x = 57,037,317.54/8,589.50
  6. Step 6: Final answer
    x = 6,640.36

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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.