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Finding the Fourth Proportional to 11,221.14, 16,833.17 and 3,823.62

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Solution

The fourth proportional to 11,221.14, 16,833.17 and 3,823.62 is: 5,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.14 : 16,833.17 = 3,823.62 : x
  2. Step 2: Convert to fraction form
    11,221.14/16,833.17 = 3,823.62/x
  3. Step 3: Cross multiply
    11,221.14x = 16,833.17 × 3,823.62
  4. Step 4: Simplify right side
    11,221.14x = 64,363,645.48
  5. Step 5: Solve for x
    x = 64,363,645.48/11,221.14
  6. Step 6: Final answer
    x = 5,735.93

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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.