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Finding the Fourth Proportional to 11,744.34, 16,212.36 and 8,221.38

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Solution

The fourth proportional to 11,744.34, 16,212.36 and 8,221.38 is: 11,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.34 : 16,212.36 = 8,221.38 : x
  2. Step 2: Convert to fraction form
    11,744.34/16,212.36 = 8,221.38/x
  3. Step 3: Cross multiply
    11,744.34x = 16,212.36 × 8,221.38
  4. Step 4: Simplify right side
    11,744.34x = 133,287,972.26
  5. Step 5: Solve for x
    x = 133,287,972.26/11,744.34
  6. Step 6: Final answer
    x = 11,349.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.