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Finding the Fourth Proportional to 11,753.01, 16,221.96 and 7,982.46

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Solution

The fourth proportional to 11,753.01, 16,221.96 and 7,982.46 is: 11,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.01 : 16,221.96 = 7,982.46 : x
  2. Step 2: Convert to fraction form
    11,753.01/16,221.96 = 7,982.46/x
  3. Step 3: Cross multiply
    11,753.01x = 16,221.96 × 7,982.46
  4. Step 4: Simplify right side
    11,753.01x = 129,491,146.82
  5. Step 5: Solve for x
    x = 129,491,146.82/11,753.01
  6. Step 6: Final answer
    x = 11,017.70

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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.