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Finding the Fourth Proportional to 11,991.97, 16,549.04 and 6,887.42

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Solution

The fourth proportional to 11,991.97, 16,549.04 and 6,887.42 is: 9,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.97 : 16,549.04 = 6,887.42 : x
  2. Step 2: Convert to fraction form
    11,991.97/16,549.04 = 6,887.42/x
  3. Step 3: Cross multiply
    11,991.97x = 16,549.04 × 6,887.42
  4. Step 4: Simplify right side
    11,991.97x = 113,980,189.08
  5. Step 5: Solve for x
    x = 113,980,189.08/11,991.97
  6. Step 6: Final answer
    x = 9,504.71

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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.