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Finding the Fourth Proportional to 7,832.28, 11,751.49 and 3,446.66

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Solution

The fourth proportional to 7,832.28, 11,751.49 and 3,446.66 is: 5,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.28 : 11,751.49 = 3,446.66 : x
  2. Step 2: Convert to fraction form
    7,832.28/11,751.49 = 3,446.66/x
  3. Step 3: Cross multiply
    7,832.28x = 11,751.49 × 3,446.66
  4. Step 4: Simplify right side
    7,832.28x = 40,503,331.77
  5. Step 5: Solve for x
    x = 40,503,331.77/7,832.28
  6. Step 6: Final answer
    x = 5,171.33

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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.