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Finding the Fourth Proportional to 11,713.66, 16,163.25 and 6,996.94

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Solution

The fourth proportional to 11,713.66, 16,163.25 and 6,996.94 is: 9,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.66 : 16,163.25 = 6,996.94 : x
  2. Step 2: Convert to fraction form
    11,713.66/16,163.25 = 6,996.94/x
  3. Step 3: Cross multiply
    11,713.66x = 16,163.25 × 6,996.94
  4. Step 4: Simplify right side
    11,713.66x = 113,093,276.29
  5. Step 5: Solve for x
    x = 113,093,276.29/11,713.66
  6. Step 6: Final answer
    x = 9,654.82

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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.