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Finding the Fourth Proportional to 7,474.38, 11,208.96 and 2,208

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Solution

The fourth proportional to 7,474.38, 11,208.96 and 2,208 is: 3,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.38 : 11,208.96 = 2,208 : x
  2. Step 2: Convert to fraction form
    7,474.38/11,208.96 = 2,208/x
  3. Step 3: Cross multiply
    7,474.38x = 11,208.96 × 2,208
  4. Step 4: Simplify right side
    7,474.38x = 24,749,383.68
  5. Step 5: Solve for x
    x = 24,749,383.68/7,474.38
  6. Step 6: Final answer
    x = 3,311.23

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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.