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Finding the Fourth Proportional to 11,472.27, 17,164.92 and 6,794.79

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Solution

The fourth proportional to 11,472.27, 17,164.92 and 6,794.79 is: 10,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.27 : 17,164.92 = 6,794.79 : x
  2. Step 2: Convert to fraction form
    11,472.27/17,164.92 = 6,794.79/x
  3. Step 3: Cross multiply
    11,472.27x = 17,164.92 × 6,794.79
  4. Step 4: Simplify right side
    11,472.27x = 116,632,026.77
  5. Step 5: Solve for x
    x = 116,632,026.77/11,472.27
  6. Step 6: Final answer
    x = 10,166.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.