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Finding the Fourth Proportional to 8,683.92, 11,971.22 and 5,694.57

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Solution

The fourth proportional to 8,683.92, 11,971.22 and 5,694.57 is: 7,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.92 : 11,971.22 = 5,694.57 : x
  2. Step 2: Convert to fraction form
    8,683.92/11,971.22 = 5,694.57/x
  3. Step 3: Cross multiply
    8,683.92x = 11,971.22 × 5,694.57
  4. Step 4: Simplify right side
    8,683.92x = 68,170,921.80
  5. Step 5: Solve for x
    x = 68,170,921.80/8,683.92
  6. Step 6: Final answer
    x = 7,850.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.