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Finding the Fourth Proportional to 7,760.14, 11,642.02 and 2,213.56

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Solution

The fourth proportional to 7,760.14, 11,642.02 and 2,213.56 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.14 : 11,642.02 = 2,213.56 : x
  2. Step 2: Convert to fraction form
    7,760.14/11,642.02 = 2,213.56/x
  3. Step 3: Cross multiply
    7,760.14x = 11,642.02 × 2,213.56
  4. Step 4: Simplify right side
    7,760.14x = 25,770,309.79
  5. Step 5: Solve for x
    x = 25,770,309.79/7,760.14
  6. Step 6: Final answer
    x = 3,320.86

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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.