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Finding the Fourth Proportional to 11,472.26, 17,164.92 and 6,794.78

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Solution

The fourth proportional to 11,472.26, 17,164.92 and 6,794.78 is: 10,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.26 : 17,164.92 = 6,794.78 : x
  2. Step 2: Convert to fraction form
    11,472.26/17,164.92 = 6,794.78/x
  3. Step 3: Cross multiply
    11,472.26x = 17,164.92 × 6,794.78
  4. Step 4: Simplify right side
    11,472.26x = 116,631,855.12
  5. Step 5: Solve for x
    x = 116,631,855.12/11,472.26
  6. Step 6: Final answer
    x = 10,166.42

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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.