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Finding the Fourth Proportional to 7,863.40, 11,787.17 and 3,908.57

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Solution

The fourth proportional to 7,863.40, 11,787.17 and 3,908.57 is: 5,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.40 : 11,787.17 = 3,908.57 : x
  2. Step 2: Convert to fraction form
    7,863.40/11,787.17 = 3,908.57/x
  3. Step 3: Cross multiply
    7,863.40x = 11,787.17 × 3,908.57
  4. Step 4: Simplify right side
    7,863.40x = 46,070,979.05
  5. Step 5: Solve for x
    x = 46,070,979.05/7,863.40
  6. Step 6: Final answer
    x = 5,858.92

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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.