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Finding the Fourth Proportional to 8,221.92, 12,334.50 and 2,674.26

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Solution

The fourth proportional to 8,221.92, 12,334.50 and 2,674.26 is: 4,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.92 : 12,334.50 = 2,674.26 : x
  2. Step 2: Convert to fraction form
    8,221.92/12,334.50 = 2,674.26/x
  3. Step 3: Cross multiply
    8,221.92x = 12,334.50 × 2,674.26
  4. Step 4: Simplify right side
    8,221.92x = 32,985,659.97
  5. Step 5: Solve for x
    x = 32,985,659.97/8,221.92
  6. Step 6: Final answer
    x = 4,011.92

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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.