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Finding the Fourth Proportional to 7,447.36, 11,169 and 2,183.54

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Solution

The fourth proportional to 7,447.36, 11,169 and 2,183.54 is: 3,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.36 : 11,169 = 2,183.54 : x
  2. Step 2: Convert to fraction form
    7,447.36/11,169 = 2,183.54/x
  3. Step 3: Cross multiply
    7,447.36x = 11,169 × 2,183.54
  4. Step 4: Simplify right side
    7,447.36x = 24,387,958.26
  5. Step 5: Solve for x
    x = 24,387,958.26/7,447.36
  6. Step 6: Final answer
    x = 3,274.71

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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.