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Finding the Fourth Proportional to 11,167.84, 16,751.92 and 3,270.88

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Solution

The fourth proportional to 11,167.84, 16,751.92 and 3,270.88 is: 4,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.84 : 16,751.92 = 3,270.88 : x
  2. Step 2: Convert to fraction form
    11,167.84/16,751.92 = 3,270.88/x
  3. Step 3: Cross multiply
    11,167.84x = 16,751.92 × 3,270.88
  4. Step 4: Simplify right side
    11,167.84x = 54,793,520.09
  5. Step 5: Solve for x
    x = 54,793,520.09/11,167.84
  6. Step 6: Final answer
    x = 4,906.37

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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.