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Finding the Fourth Proportional to 11,589.04, 17,391.96 and 7,882.48

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Solution

The fourth proportional to 11,589.04, 17,391.96 and 7,882.48 is: 11,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.04 : 17,391.96 = 7,882.48 : x
  2. Step 2: Convert to fraction form
    11,589.04/17,391.96 = 7,882.48/x
  3. Step 3: Cross multiply
    11,589.04x = 17,391.96 × 7,882.48
  4. Step 4: Simplify right side
    11,589.04x = 137,091,776.86
  5. Step 5: Solve for x
    x = 137,091,776.86/11,589.04
  6. Step 6: Final answer
    x = 11,829.43

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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.