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Finding the Fourth Proportional to 7,234.97, 10,850.31 and 3,074.85

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Solution

The fourth proportional to 7,234.97, 10,850.31 and 3,074.85 is: 4,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.97 : 10,850.31 = 3,074.85 : x
  2. Step 2: Convert to fraction form
    7,234.97/10,850.31 = 3,074.85/x
  3. Step 3: Cross multiply
    7,234.97x = 10,850.31 × 3,074.85
  4. Step 4: Simplify right side
    7,234.97x = 33,363,075.70
  5. Step 5: Solve for x
    x = 33,363,075.70/7,234.97
  6. Step 6: Final answer
    x = 4,611.37

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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.