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Finding the Fourth Proportional to 11,022.96, 15,213.24 and 6,832.56

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Solution

The fourth proportional to 11,022.96, 15,213.24 and 6,832.56 is: 9,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.96 : 15,213.24 = 6,832.56 : x
  2. Step 2: Convert to fraction form
    11,022.96/15,213.24 = 6,832.56/x
  3. Step 3: Cross multiply
    11,022.96x = 15,213.24 × 6,832.56
  4. Step 4: Simplify right side
    11,022.96x = 103,945,375.09
  5. Step 5: Solve for x
    x = 103,945,375.09/11,022.96
  6. Step 6: Final answer
    x = 9,429.90

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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.