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Finding the Fourth Proportional to 6,974.36, 10,443.68 and 3,850.90

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Solution

The fourth proportional to 6,974.36, 10,443.68 and 3,850.90 is: 5,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.36 : 10,443.68 = 3,850.90 : x
  2. Step 2: Convert to fraction form
    6,974.36/10,443.68 = 3,850.90/x
  3. Step 3: Cross multiply
    6,974.36x = 10,443.68 × 3,850.90
  4. Step 4: Simplify right side
    6,974.36x = 40,217,495.84
  5. Step 5: Solve for x
    x = 40,217,495.84/6,974.36
  6. Step 6: Final answer
    x = 5,766.48

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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.