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Finding the Fourth Proportional to 8,198.96, 12,298.43 and 2,355.62

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Solution

The fourth proportional to 8,198.96, 12,298.43 and 2,355.62 is: 3,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.96 : 12,298.43 = 2,355.62 : x
  2. Step 2: Convert to fraction form
    8,198.96/12,298.43 = 2,355.62/x
  3. Step 3: Cross multiply
    8,198.96x = 12,298.43 × 2,355.62
  4. Step 4: Simplify right side
    8,198.96x = 28,970,372.07
  5. Step 5: Solve for x
    x = 28,970,372.07/8,198.96
  6. Step 6: Final answer
    x = 3,533.42

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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.