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Finding the Fourth Proportional to 10,774.62, 16,161.96 and 3,378.44

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Solution

The fourth proportional to 10,774.62, 16,161.96 and 3,378.44 is: 5,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.62 : 16,161.96 = 3,378.44 : x
  2. Step 2: Convert to fraction form
    10,774.62/16,161.96 = 3,378.44/x
  3. Step 3: Cross multiply
    10,774.62x = 16,161.96 × 3,378.44
  4. Step 4: Simplify right side
    10,774.62x = 54,602,212.14
  5. Step 5: Solve for x
    x = 54,602,212.14/10,774.62
  6. Step 6: Final answer
    x = 5,067.67

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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.