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Finding the Fourth Proportional to 7,540.96, 11,313.84 and 3,645.60

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Solution

The fourth proportional to 7,540.96, 11,313.84 and 3,645.60 is: 5,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.96 : 11,313.84 = 3,645.60 : x
  2. Step 2: Convert to fraction form
    7,540.96/11,313.84 = 3,645.60/x
  3. Step 3: Cross multiply
    7,540.96x = 11,313.84 × 3,645.60
  4. Step 4: Simplify right side
    7,540.96x = 41,245,735.10
  5. Step 5: Solve for x
    x = 41,245,735.10/7,540.96
  6. Step 6: Final answer
    x = 5,469.56

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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.