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Finding the Fourth Proportional to 8,198.33, 12,299.63 and 2,355.40

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Solution

The fourth proportional to 8,198.33, 12,299.63 and 2,355.40 is: 3,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.33 : 12,299.63 = 2,355.40 : x
  2. Step 2: Convert to fraction form
    8,198.33/12,299.63 = 2,355.40/x
  3. Step 3: Cross multiply
    8,198.33x = 12,299.63 × 2,355.40
  4. Step 4: Simplify right side
    8,198.33x = 28,970,505.98
  5. Step 5: Solve for x
    x = 28,970,505.98/8,198.33
  6. Step 6: Final answer
    x = 3,533.71

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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.