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Finding the Fourth Proportional to 11,249.45, 16,865.61 and 6,806.18

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Solution

The fourth proportional to 11,249.45, 16,865.61 and 6,806.18 is: 10,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.45 : 16,865.61 = 6,806.18 : x
  2. Step 2: Convert to fraction form
    11,249.45/16,865.61 = 6,806.18/x
  3. Step 3: Cross multiply
    11,249.45x = 16,865.61 × 6,806.18
  4. Step 4: Simplify right side
    11,249.45x = 114,790,377.47
  5. Step 5: Solve for x
    x = 114,790,377.47/11,249.45
  6. Step 6: Final answer
    x = 10,204.09

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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.