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Finding the Fourth Proportional to 8,396.24, 12,586.16 and 3,469.33

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Solution

The fourth proportional to 8,396.24, 12,586.16 and 3,469.33 is: 5,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.24 : 12,586.16 = 3,469.33 : x
  2. Step 2: Convert to fraction form
    8,396.24/12,586.16 = 3,469.33/x
  3. Step 3: Cross multiply
    8,396.24x = 12,586.16 × 3,469.33
  4. Step 4: Simplify right side
    8,396.24x = 43,665,519.68
  5. Step 5: Solve for x
    x = 43,665,519.68/8,396.24
  6. Step 6: Final answer
    x = 5,200.60

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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.