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Finding the Fourth Proportional to 8,238.19, 12,364.27 and 3,311.16

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Solution

The fourth proportional to 8,238.19, 12,364.27 and 3,311.16 is: 4,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.19 : 12,364.27 = 3,311.16 : x
  2. Step 2: Convert to fraction form
    8,238.19/12,364.27 = 3,311.16/x
  3. Step 3: Cross multiply
    8,238.19x = 12,364.27 × 3,311.16
  4. Step 4: Simplify right side
    8,238.19x = 40,940,067.98
  5. Step 5: Solve for x
    x = 40,940,067.98/8,238.19
  6. Step 6: Final answer
    x = 4,969.55

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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.