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Finding the Fourth Proportional to 8,233.50, 12,352.26 and 2,687.10

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Solution

The fourth proportional to 8,233.50, 12,352.26 and 2,687.10 is: 4,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.50 : 12,352.26 = 2,687.10 : x
  2. Step 2: Convert to fraction form
    8,233.50/12,352.26 = 2,687.10/x
  3. Step 3: Cross multiply
    8,233.50x = 12,352.26 × 2,687.10
  4. Step 4: Simplify right side
    8,233.50x = 33,191,757.85
  5. Step 5: Solve for x
    x = 33,191,757.85/8,233.50
  6. Step 6: Final answer
    x = 4,031.31

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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.