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Finding the Fourth Proportional to 7,442.46, 11,163.66 and 2,825.46

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Solution

The fourth proportional to 7,442.46, 11,163.66 and 2,825.46 is: 4,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.46 : 11,163.66 = 2,825.46 : x
  2. Step 2: Convert to fraction form
    7,442.46/11,163.66 = 2,825.46/x
  3. Step 3: Cross multiply
    7,442.46x = 11,163.66 × 2,825.46
  4. Step 4: Simplify right side
    7,442.46x = 31,542,474.78
  5. Step 5: Solve for x
    x = 31,542,474.78/7,442.46
  6. Step 6: Final answer
    x = 4,238.18

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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.