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Finding the Fourth Proportional to 6,874.14, 10,311.93 and 2,193.03

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Solution

The fourth proportional to 6,874.14, 10,311.93 and 2,193.03 is: 3,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.14 : 10,311.93 = 2,193.03 : x
  2. Step 2: Convert to fraction form
    6,874.14/10,311.93 = 2,193.03/x
  3. Step 3: Cross multiply
    6,874.14x = 10,311.93 × 2,193.03
  4. Step 4: Simplify right side
    6,874.14x = 22,614,371.85
  5. Step 5: Solve for x
    x = 22,614,371.85/6,874.14
  6. Step 6: Final answer
    x = 3,289.77

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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.