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Finding the Fourth Proportional to 8,249.34, 12,373.98 and 2,984.33

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Solution

The fourth proportional to 8,249.34, 12,373.98 and 2,984.33 is: 4,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.34 : 12,373.98 = 2,984.33 : x
  2. Step 2: Convert to fraction form
    8,249.34/12,373.98 = 2,984.33/x
  3. Step 3: Cross multiply
    8,249.34x = 12,373.98 × 2,984.33
  4. Step 4: Simplify right side
    8,249.34x = 36,928,039.73
  5. Step 5: Solve for x
    x = 36,928,039.73/8,249.34
  6. Step 6: Final answer
    x = 4,476.48

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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.