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Finding the Fourth Proportional to 11,969.97, 16,517.92 and 6,663.84

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Solution

The fourth proportional to 11,969.97, 16,517.92 and 6,663.84 is: 9,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.97 : 16,517.92 = 6,663.84 : x
  2. Step 2: Convert to fraction form
    11,969.97/16,517.92 = 6,663.84/x
  3. Step 3: Cross multiply
    11,969.97x = 16,517.92 × 6,663.84
  4. Step 4: Simplify right side
    11,969.97x = 110,072,776.01
  5. Step 5: Solve for x
    x = 110,072,776.01/11,969.97
  6. Step 6: Final answer
    x = 9,195.74

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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.