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Finding the Fourth Proportional to 7,467.92, 11,201.84 and 2,273.84

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Solution

The fourth proportional to 7,467.92, 11,201.84 and 2,273.84 is: 3,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.92 : 11,201.84 = 2,273.84 : x
  2. Step 2: Convert to fraction form
    7,467.92/11,201.84 = 2,273.84/x
  3. Step 3: Cross multiply
    7,467.92x = 11,201.84 × 2,273.84
  4. Step 4: Simplify right side
    7,467.92x = 25,471,191.87
  5. Step 5: Solve for x
    x = 25,471,191.87/7,467.92
  6. Step 6: Final answer
    x = 3,410.75

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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.