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Finding the Fourth Proportional to 11,441.96, 17,151.24 and 7,744.56

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Solution

The fourth proportional to 11,441.96, 17,151.24 and 7,744.56 is: 11,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.96 : 17,151.24 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    11,441.96/17,151.24 = 7,744.56/x
  3. Step 3: Cross multiply
    11,441.96x = 17,151.24 × 7,744.56
  4. Step 4: Simplify right side
    11,441.96x = 132,828,807.25
  5. Step 5: Solve for x
    x = 132,828,807.25/11,441.96
  6. Step 6: Final answer
    x = 11,608.92

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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.