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Finding the Fourth Proportional to 8,151.44, 12,228.74 and 3,471.37

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Solution

The fourth proportional to 8,151.44, 12,228.74 and 3,471.37 is: 5,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.44 : 12,228.74 = 3,471.37 : x
  2. Step 2: Convert to fraction form
    8,151.44/12,228.74 = 3,471.37/x
  3. Step 3: Cross multiply
    8,151.44x = 12,228.74 × 3,471.37
  4. Step 4: Simplify right side
    8,151.44x = 42,450,481.17
  5. Step 5: Solve for x
    x = 42,450,481.17/8,151.44
  6. Step 6: Final answer
    x = 5,207.73

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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.