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Finding the Fourth Proportional to 10,994.43, 16,489.71 and 3,201.42

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Solution

The fourth proportional to 10,994.43, 16,489.71 and 3,201.42 is: 4,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.43 : 16,489.71 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    10,994.43/16,489.71 = 3,201.42/x
  3. Step 3: Cross multiply
    10,994.43x = 16,489.71 × 3,201.42
  4. Step 4: Simplify right side
    10,994.43x = 52,790,487.39
  5. Step 5: Solve for x
    x = 52,790,487.39/10,994.43
  6. Step 6: Final answer
    x = 4,801.57

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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.