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Finding the Fourth Proportional to 8,198.87, 12,295.44 and 5,074.11

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Solution

The fourth proportional to 8,198.87, 12,295.44 and 5,074.11 is: 7,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.87 : 12,295.44 = 5,074.11 : x
  2. Step 2: Convert to fraction form
    8,198.87/12,295.44 = 5,074.11/x
  3. Step 3: Cross multiply
    8,198.87x = 12,295.44 × 5,074.11
  4. Step 4: Simplify right side
    8,198.87x = 62,388,415.06
  5. Step 5: Solve for x
    x = 62,388,415.06/8,198.87
  6. Step 6: Final answer
    x = 7,609.40

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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.