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Finding the Fourth Proportional to 8,249.52, 12,373.56 and 2,405.73

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Solution

The fourth proportional to 8,249.52, 12,373.56 and 2,405.73 is: 3,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.52 : 12,373.56 = 2,405.73 : x
  2. Step 2: Convert to fraction form
    8,249.52/12,373.56 = 2,405.73/x
  3. Step 3: Cross multiply
    8,249.52x = 12,373.56 × 2,405.73
  4. Step 4: Simplify right side
    8,249.52x = 29,767,444.50
  5. Step 5: Solve for x
    x = 29,767,444.50/8,249.52
  6. Step 6: Final answer
    x = 3,608.39

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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.