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Finding the Fourth Proportional to 11,902.26, 16,424.91 and 6,524.65

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Solution

The fourth proportional to 11,902.26, 16,424.91 and 6,524.65 is: 9,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.26 : 16,424.91 = 6,524.65 : x
  2. Step 2: Convert to fraction form
    11,902.26/16,424.91 = 6,524.65/x
  3. Step 3: Cross multiply
    11,902.26x = 16,424.91 × 6,524.65
  4. Step 4: Simplify right side
    11,902.26x = 107,166,789.03
  5. Step 5: Solve for x
    x = 107,166,789.03/11,902.26
  6. Step 6: Final answer
    x = 9,003.90

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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.