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Finding the Fourth Proportional to 8,507.50, 12,761.24 and 3,512.69

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Solution

The fourth proportional to 8,507.50, 12,761.24 and 3,512.69 is: 5,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.50 : 12,761.24 = 3,512.69 : x
  2. Step 2: Convert to fraction form
    8,507.50/12,761.24 = 3,512.69/x
  3. Step 3: Cross multiply
    8,507.50x = 12,761.24 × 3,512.69
  4. Step 4: Simplify right side
    8,507.50x = 44,826,198.77
  5. Step 5: Solve for x
    x = 44,826,198.77/8,507.50
  6. Step 6: Final answer
    x = 5,269.02

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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.