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Finding the Fourth Proportional to 11,593.96, 17,381.82 and 5,357.96

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Solution

The fourth proportional to 11,593.96, 17,381.82 and 5,357.96 is: 8,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.96 : 17,381.82 = 5,357.96 : x
  2. Step 2: Convert to fraction form
    11,593.96/17,381.82 = 5,357.96/x
  3. Step 3: Cross multiply
    11,593.96x = 17,381.82 × 5,357.96
  4. Step 4: Simplify right side
    11,593.96x = 93,131,096.29
  5. Step 5: Solve for x
    x = 93,131,096.29/11,593.96
  6. Step 6: Final answer
    x = 8,032.73

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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.