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Finding the Fourth Proportional to 7,494.96, 11,233.66 and 5,640.12

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Solution

The fourth proportional to 7,494.96, 11,233.66 and 5,640.12 is: 8,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.96 : 11,233.66 = 5,640.12 : x
  2. Step 2: Convert to fraction form
    7,494.96/11,233.66 = 5,640.12/x
  3. Step 3: Cross multiply
    7,494.96x = 11,233.66 × 5,640.12
  4. Step 4: Simplify right side
    7,494.96x = 63,359,190.44
  5. Step 5: Solve for x
    x = 63,359,190.44/7,494.96
  6. Step 6: Final answer
    x = 8,453.57

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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.