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Finding the Fourth Proportional to 11,654.19, 16,082.89 and 6,874.25

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Solution

The fourth proportional to 11,654.19, 16,082.89 and 6,874.25 is: 9,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.19 : 16,082.89 = 6,874.25 : x
  2. Step 2: Convert to fraction form
    11,654.19/16,082.89 = 6,874.25/x
  3. Step 3: Cross multiply
    11,654.19x = 16,082.89 × 6,874.25
  4. Step 4: Simplify right side
    11,654.19x = 110,557,708.98
  5. Step 5: Solve for x
    x = 110,557,708.98/11,654.19
  6. Step 6: Final answer
    x = 9,486.52

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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.