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Finding the Fourth Proportional to 7,680.88, 11,520.91 and 2,134.54

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Solution

The fourth proportional to 7,680.88, 11,520.91 and 2,134.54 is: 3,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.88 : 11,520.91 = 2,134.54 : x
  2. Step 2: Convert to fraction form
    7,680.88/11,520.91 = 2,134.54/x
  3. Step 3: Cross multiply
    7,680.88x = 11,520.91 × 2,134.54
  4. Step 4: Simplify right side
    7,680.88x = 24,591,843.23
  5. Step 5: Solve for x
    x = 24,591,843.23/7,680.88
  6. Step 6: Final answer
    x = 3,201.70

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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.