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Finding the Fourth Proportional to 11,924.62, 16,456.04 and 7,450.97

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Solution

The fourth proportional to 11,924.62, 16,456.04 and 7,450.97 is: 10,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.62 : 16,456.04 = 7,450.97 : x
  2. Step 2: Convert to fraction form
    11,924.62/16,456.04 = 7,450.97/x
  3. Step 3: Cross multiply
    11,924.62x = 16,456.04 × 7,450.97
  4. Step 4: Simplify right side
    11,924.62x = 122,613,340.82
  5. Step 5: Solve for x
    x = 122,613,340.82/11,924.62
  6. Step 6: Final answer
    x = 10,282.37

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