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Finding the Fourth Proportional to 11,617.66, 17,383.43 and 6,940.21

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Solution

The fourth proportional to 11,617.66, 17,383.43 and 6,940.21 is: 10,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.66 : 17,383.43 = 6,940.21 : x
  2. Step 2: Convert to fraction form
    11,617.66/17,383.43 = 6,940.21/x
  3. Step 3: Cross multiply
    11,617.66x = 17,383.43 × 6,940.21
  4. Step 4: Simplify right side
    11,617.66x = 120,644,654.72
  5. Step 5: Solve for x
    x = 120,644,654.72/11,617.66
  6. Step 6: Final answer
    x = 10,384.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.