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Finding the Fourth Proportional to 7,882.88, 11,816.34 and 5,111.31

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Solution

The fourth proportional to 7,882.88, 11,816.34 and 5,111.31 is: 7,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 11,816.34 = 5,111.31 : x
  2. Step 2: Convert to fraction form
    7,882.88/11,816.34 = 5,111.31/x
  3. Step 3: Cross multiply
    7,882.88x = 11,816.34 × 5,111.31
  4. Step 4: Simplify right side
    7,882.88x = 60,396,951.25
  5. Step 5: Solve for x
    x = 60,396,951.25/7,882.88
  6. Step 6: Final answer
    x = 7,661.79

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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.