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Finding the Fourth Proportional to 7,738.54, 11,610.12 and 3,059.20

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Solution

The fourth proportional to 7,738.54, 11,610.12 and 3,059.20 is: 4,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.54 : 11,610.12 = 3,059.20 : x
  2. Step 2: Convert to fraction form
    7,738.54/11,610.12 = 3,059.20/x
  3. Step 3: Cross multiply
    7,738.54x = 11,610.12 × 3,059.20
  4. Step 4: Simplify right side
    7,738.54x = 35,517,679.10
  5. Step 5: Solve for x
    x = 35,517,679.10/7,738.54
  6. Step 6: Final answer
    x = 4,589.71

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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.