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Finding the Fourth Proportional to 7,760.72, 11,642.57 and 3,079.80

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Solution

The fourth proportional to 7,760.72, 11,642.57 and 3,079.80 is: 4,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.72 : 11,642.57 = 3,079.80 : x
  2. Step 2: Convert to fraction form
    7,760.72/11,642.57 = 3,079.80/x
  3. Step 3: Cross multiply
    7,760.72x = 11,642.57 × 3,079.80
  4. Step 4: Simplify right side
    7,760.72x = 35,856,771.69
  5. Step 5: Solve for x
    x = 35,856,771.69/7,760.72
  6. Step 6: Final answer
    x = 4,620.29

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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.