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Finding the Fourth Proportional to 8,198.54, 12,297.81 and 3,810.87

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Solution

The fourth proportional to 8,198.54, 12,297.81 and 3,810.87 is: 5,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.54 : 12,297.81 = 3,810.87 : x
  2. Step 2: Convert to fraction form
    8,198.54/12,297.81 = 3,810.87/x
  3. Step 3: Cross multiply
    8,198.54x = 12,297.81 × 3,810.87
  4. Step 4: Simplify right side
    8,198.54x = 46,865,336.14
  5. Step 5: Solve for x
    x = 46,865,336.14/8,198.54
  6. Step 6: Final answer
    x = 5,716.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.