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Finding the Fourth Proportional to 7,761.24, 11,642.22 and 3,082.20

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Solution

The fourth proportional to 7,761.24, 11,642.22 and 3,082.20 is: 4,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.24 : 11,642.22 = 3,082.20 : x
  2. Step 2: Convert to fraction form
    7,761.24/11,642.22 = 3,082.20/x
  3. Step 3: Cross multiply
    7,761.24x = 11,642.22 × 3,082.20
  4. Step 4: Simplify right side
    7,761.24x = 35,883,650.48
  5. Step 5: Solve for x
    x = 35,883,650.48/7,761.24
  6. Step 6: Final answer
    x = 4,623.44

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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.