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Finding the Fourth Proportional to 8,469.28, 11,683.67 and 5,486.12

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Solution

The fourth proportional to 8,469.28, 11,683.67 and 5,486.12 is: 7,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.28 : 11,683.67 = 5,486.12 : x
  2. Step 2: Convert to fraction form
    8,469.28/11,683.67 = 5,486.12/x
  3. Step 3: Cross multiply
    8,469.28x = 11,683.67 × 5,486.12
  4. Step 4: Simplify right side
    8,469.28x = 64,098,015.66
  5. Step 5: Solve for x
    x = 64,098,015.66/8,469.28
  6. Step 6: Final answer
    x = 7,568.30

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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.