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Finding the Fourth Proportional to 8,164.75, 11,255.11 and 6,393.28

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Solution

The fourth proportional to 8,164.75, 11,255.11 and 6,393.28 is: 8,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.75 : 11,255.11 = 6,393.28 : x
  2. Step 2: Convert to fraction form
    8,164.75/11,255.11 = 6,393.28/x
  3. Step 3: Cross multiply
    8,164.75x = 11,255.11 × 6,393.28
  4. Step 4: Simplify right side
    8,164.75x = 71,957,069.66
  5. Step 5: Solve for x
    x = 71,957,069.66/8,164.75
  6. Step 6: Final answer
    x = 8,813.14

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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.