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Finding the Fourth Proportional to 11,717.82, 16,168.62 and 6,682.14

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Solution

The fourth proportional to 11,717.82, 16,168.62 and 6,682.14 is: 9,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.82 : 16,168.62 = 6,682.14 : x
  2. Step 2: Convert to fraction form
    11,717.82/16,168.62 = 6,682.14/x
  3. Step 3: Cross multiply
    11,717.82x = 16,168.62 × 6,682.14
  4. Step 4: Simplify right side
    11,717.82x = 108,040,982.45
  5. Step 5: Solve for x
    x = 108,040,982.45/11,717.82
  6. Step 6: Final answer
    x = 9,220.23

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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.