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Finding the Fourth Proportional to 7,876.38, 11,816.39 and 2,682.25

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Solution

The fourth proportional to 7,876.38, 11,816.39 and 2,682.25 is: 4,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.38 : 11,816.39 = 2,682.25 : x
  2. Step 2: Convert to fraction form
    7,876.38/11,816.39 = 2,682.25/x
  3. Step 3: Cross multiply
    7,876.38x = 11,816.39 × 2,682.25
  4. Step 4: Simplify right side
    7,876.38x = 31,694,512.08
  5. Step 5: Solve for x
    x = 31,694,512.08/7,876.38
  6. Step 6: Final answer
    x = 4,023.99

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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.