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Finding the Fourth Proportional to 8,238.27, 12,359.22 and 3,853.35

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Solution

The fourth proportional to 8,238.27, 12,359.22 and 3,853.35 is: 5,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.27 : 12,359.22 = 3,853.35 : x
  2. Step 2: Convert to fraction form
    8,238.27/12,359.22 = 3,853.35/x
  3. Step 3: Cross multiply
    8,238.27x = 12,359.22 × 3,853.35
  4. Step 4: Simplify right side
    8,238.27x = 47,624,400.39
  5. Step 5: Solve for x
    x = 47,624,400.39/8,238.27
  6. Step 6: Final answer
    x = 5,780.87

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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.