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Finding the Fourth Proportional to 7,863.39, 11,786.58 and 3,968.10

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Solution

The fourth proportional to 7,863.39, 11,786.58 and 3,968.10 is: 5,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.39 : 11,786.58 = 3,968.10 : x
  2. Step 2: Convert to fraction form
    7,863.39/11,786.58 = 3,968.10/x
  3. Step 3: Cross multiply
    7,863.39x = 11,786.58 × 3,968.10
  4. Step 4: Simplify right side
    7,863.39x = 46,770,328.10
  5. Step 5: Solve for x
    x = 46,770,328.10/7,863.39
  6. Step 6: Final answer
    x = 5,947.86

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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.