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Finding the Fourth Proportional to 8,667.27, 13,001.82 and 2,824.34

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Solution

The fourth proportional to 8,667.27, 13,001.82 and 2,824.34 is: 4,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.27 : 13,001.82 = 2,824.34 : x
  2. Step 2: Convert to fraction form
    8,667.27/13,001.82 = 2,824.34/x
  3. Step 3: Cross multiply
    8,667.27x = 13,001.82 × 2,824.34
  4. Step 4: Simplify right side
    8,667.27x = 36,721,481.17
  5. Step 5: Solve for x
    x = 36,721,481.17/8,667.27
  6. Step 6: Final answer
    x = 4,236.80

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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.