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Finding the Fourth Proportional to 7,871.28, 11,806.92 and 2,677.16

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Solution

The fourth proportional to 7,871.28, 11,806.92 and 2,677.16 is: 4,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.28 : 11,806.92 = 2,677.16 : x
  2. Step 2: Convert to fraction form
    7,871.28/11,806.92 = 2,677.16/x
  3. Step 3: Cross multiply
    7,871.28x = 11,806.92 × 2,677.16
  4. Step 4: Simplify right side
    7,871.28x = 31,608,954.91
  5. Step 5: Solve for x
    x = 31,608,954.91/7,871.28
  6. Step 6: Final answer
    x = 4,015.73

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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.