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Finding the Fourth Proportional to 8,102.99, 11,169.87 and 6,331.52

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Solution

The fourth proportional to 8,102.99, 11,169.87 and 6,331.52 is: 8,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.99 : 11,169.87 = 6,331.52 : x
  2. Step 2: Convert to fraction form
    8,102.99/11,169.87 = 6,331.52/x
  3. Step 3: Cross multiply
    8,102.99x = 11,169.87 × 6,331.52
  4. Step 4: Simplify right side
    8,102.99x = 70,722,250.08
  5. Step 5: Solve for x
    x = 70,722,250.08/8,102.99
  6. Step 6: Final answer
    x = 8,727.92

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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.