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Finding the Fourth Proportional to 11,217.42, 16,823.97 and 3,821.11

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Solution

The fourth proportional to 11,217.42, 16,823.97 and 3,821.11 is: 5,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.42 : 16,823.97 = 3,821.11 : x
  2. Step 2: Convert to fraction form
    11,217.42/16,823.97 = 3,821.11/x
  3. Step 3: Cross multiply
    11,217.42x = 16,823.97 × 3,821.11
  4. Step 4: Simplify right side
    11,217.42x = 64,286,197.95
  5. Step 5: Solve for x
    x = 64,286,197.95/11,217.42
  6. Step 6: Final answer
    x = 5,730.93

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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.