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Finding the Fourth Proportional to 10,874.42, 16,311.78 and 3,083.22

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Solution

The fourth proportional to 10,874.42, 16,311.78 and 3,083.22 is: 4,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.42 : 16,311.78 = 3,083.22 : x
  2. Step 2: Convert to fraction form
    10,874.42/16,311.78 = 3,083.22/x
  3. Step 3: Cross multiply
    10,874.42x = 16,311.78 × 3,083.22
  4. Step 4: Simplify right side
    10,874.42x = 50,292,806.33
  5. Step 5: Solve for x
    x = 50,292,806.33/10,874.42
  6. Step 6: Final answer
    x = 4,624.87

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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.