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Finding the Fourth Proportional to 11,654.11, 16,082.52 and 6,618.48

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Solution

The fourth proportional to 11,654.11, 16,082.52 and 6,618.48 is: 9,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.11 : 16,082.52 = 6,618.48 : x
  2. Step 2: Convert to fraction form
    11,654.11/16,082.52 = 6,618.48/x
  3. Step 3: Cross multiply
    11,654.11x = 16,082.52 × 6,618.48
  4. Step 4: Simplify right side
    11,654.11x = 106,441,836.97
  5. Step 5: Solve for x
    x = 106,441,836.97/11,654.11
  6. Step 6: Final answer
    x = 9,133.42

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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.