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Finding the Fourth Proportional to 7,612.14, 11,418.22 and 2,065.48

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Solution

The fourth proportional to 7,612.14, 11,418.22 and 2,065.48 is: 3,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.14 : 11,418.22 = 2,065.48 : x
  2. Step 2: Convert to fraction form
    7,612.14/11,418.22 = 2,065.48/x
  3. Step 3: Cross multiply
    7,612.14x = 11,418.22 × 2,065.48
  4. Step 4: Simplify right side
    7,612.14x = 23,584,105.05
  5. Step 5: Solve for x
    x = 23,584,105.05/7,612.14
  6. Step 6: Final answer
    x = 3,098.22

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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.