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Finding the Fourth Proportional to 11,144.84, 16,717.08 and 2,711.42

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Solution

The fourth proportional to 11,144.84, 16,717.08 and 2,711.42 is: 4,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.84 : 16,717.08 = 2,711.42 : x
  2. Step 2: Convert to fraction form
    11,144.84/16,717.08 = 2,711.42/x
  3. Step 3: Cross multiply
    11,144.84x = 16,717.08 × 2,711.42
  4. Step 4: Simplify right side
    11,144.84x = 45,327,066.85
  5. Step 5: Solve for x
    x = 45,327,066.85/11,144.84
  6. Step 6: Final answer
    x = 4,067.09

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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.