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Finding the Fourth Proportional to 8,086.06, 11,165.79 and 5,965.28

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Solution

The fourth proportional to 8,086.06, 11,165.79 and 5,965.28 is: 8,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.06 : 11,165.79 = 5,965.28 : x
  2. Step 2: Convert to fraction form
    8,086.06/11,165.79 = 5,965.28/x
  3. Step 3: Cross multiply
    8,086.06x = 11,165.79 × 5,965.28
  4. Step 4: Simplify right side
    8,086.06x = 66,607,063.77
  5. Step 5: Solve for x
    x = 66,607,063.77/8,086.06
  6. Step 6: Final answer
    x = 8,237.27

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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.