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Finding the Fourth Proportional to 7,612.56, 11,418.84 and 2,614.86

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Solution

The fourth proportional to 7,612.56, 11,418.84 and 2,614.86 is: 3,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.56 : 11,418.84 = 2,614.86 : x
  2. Step 2: Convert to fraction form
    7,612.56/11,418.84 = 2,614.86/x
  3. Step 3: Cross multiply
    7,612.56x = 11,418.84 × 2,614.86
  4. Step 4: Simplify right side
    7,612.56x = 29,858,667.96
  5. Step 5: Solve for x
    x = 29,858,667.96/7,612.56
  6. Step 6: Final answer
    x = 3,922.29

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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.