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Finding the Fourth Proportional to 8,675.88, 13,022.34 and 3,747.24

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Solution

The fourth proportional to 8,675.88, 13,022.34 and 3,747.24 is: 5,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.88 : 13,022.34 = 3,747.24 : x
  2. Step 2: Convert to fraction form
    8,675.88/13,022.34 = 3,747.24/x
  3. Step 3: Cross multiply
    8,675.88x = 13,022.34 × 3,747.24
  4. Step 4: Simplify right side
    8,675.88x = 48,797,833.34
  5. Step 5: Solve for x
    x = 48,797,833.34/8,675.88
  6. Step 6: Final answer
    x = 5,624.54

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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.