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Finding the Fourth Proportional to 7,876.14, 11,816.04 and 2,682

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Solution

The fourth proportional to 7,876.14, 11,816.04 and 2,682 is: 4,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.14 : 11,816.04 = 2,682 : x
  2. Step 2: Convert to fraction form
    7,876.14/11,816.04 = 2,682/x
  3. Step 3: Cross multiply
    7,876.14x = 11,816.04 × 2,682
  4. Step 4: Simplify right side
    7,876.14x = 31,690,619.28
  5. Step 5: Solve for x
    x = 31,690,619.28/7,876.14
  6. Step 6: Final answer
    x = 4,023.62

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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.