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Finding the Fourth Proportional to 11,016.36, 16,524.56 and 7,744.09

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Solution

The fourth proportional to 11,016.36, 16,524.56 and 7,744.09 is: 11,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.36 : 16,524.56 = 7,744.09 : x
  2. Step 2: Convert to fraction form
    11,016.36/16,524.56 = 7,744.09/x
  3. Step 3: Cross multiply
    11,016.36x = 16,524.56 × 7,744.09
  4. Step 4: Simplify right side
    11,016.36x = 127,967,679.85
  5. Step 5: Solve for x
    x = 127,967,679.85/11,016.36
  6. Step 6: Final answer
    x = 11,616.15

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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.