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Finding the Fourth Proportional to 8,311.16, 12,467.12 and 3,378.24

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Solution

The fourth proportional to 8,311.16, 12,467.12 and 3,378.24 is: 5,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.16 : 12,467.12 = 3,378.24 : x
  2. Step 2: Convert to fraction form
    8,311.16/12,467.12 = 3,378.24/x
  3. Step 3: Cross multiply
    8,311.16x = 12,467.12 × 3,378.24
  4. Step 4: Simplify right side
    8,311.16x = 42,116,923.47
  5. Step 5: Solve for x
    x = 42,116,923.47/8,311.16
  6. Step 6: Final answer
    x = 5,067.51

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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.