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Finding the Fourth Proportional to 11,231.67, 16,811.79 and 6,286.21

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Solution

The fourth proportional to 11,231.67, 16,811.79 and 6,286.21 is: 9,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.67 : 16,811.79 = 6,286.21 : x
  2. Step 2: Convert to fraction form
    11,231.67/16,811.79 = 6,286.21/x
  3. Step 3: Cross multiply
    11,231.67x = 16,811.79 × 6,286.21
  4. Step 4: Simplify right side
    11,231.67x = 105,682,442.42
  5. Step 5: Solve for x
    x = 105,682,442.42/11,231.67
  6. Step 6: Final answer
    x = 9,409.33

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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.