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Finding the Fourth Proportional to 11,016.84, 16,523.10 and 3,223.56

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Solution

The fourth proportional to 11,016.84, 16,523.10 and 3,223.56 is: 4,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.84 : 16,523.10 = 3,223.56 : x
  2. Step 2: Convert to fraction form
    11,016.84/16,523.10 = 3,223.56/x
  3. Step 3: Cross multiply
    11,016.84x = 16,523.10 × 3,223.56
  4. Step 4: Simplify right side
    11,016.84x = 53,263,204.24
  5. Step 5: Solve for x
    x = 53,263,204.24/11,016.84
  6. Step 6: Final answer
    x = 4,834.71

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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.