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Finding the Fourth Proportional to 6,874.62, 10,302.33 and 3,408.38

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Solution

The fourth proportional to 6,874.62, 10,302.33 and 3,408.38 is: 5,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.62 : 10,302.33 = 3,408.38 : x
  2. Step 2: Convert to fraction form
    6,874.62/10,302.33 = 3,408.38/x
  3. Step 3: Cross multiply
    6,874.62x = 10,302.33 × 3,408.38
  4. Step 4: Simplify right side
    6,874.62x = 35,114,255.53
  5. Step 5: Solve for x
    x = 35,114,255.53/6,874.62
  6. Step 6: Final answer
    x = 5,107.81

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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.