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Finding the Fourth Proportional to 8,321.25, 11,469.63 and 5,899.41

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Solution

The fourth proportional to 8,321.25, 11,469.63 and 5,899.41 is: 8,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.25 : 11,469.63 = 5,899.41 : x
  2. Step 2: Convert to fraction form
    8,321.25/11,469.63 = 5,899.41/x
  3. Step 3: Cross multiply
    8,321.25x = 11,469.63 × 5,899.41
  4. Step 4: Simplify right side
    8,321.25x = 67,664,049.92
  5. Step 5: Solve for x
    x = 67,664,049.92/8,321.25
  6. Step 6: Final answer
    x = 8,131.48

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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.