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Finding the Fourth Proportional to 8,217.42, 12,322.41 and 3,836.13

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Solution

The fourth proportional to 8,217.42, 12,322.41 and 3,836.13 is: 5,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.42 : 12,322.41 = 3,836.13 : x
  2. Step 2: Convert to fraction form
    8,217.42/12,322.41 = 3,836.13/x
  3. Step 3: Cross multiply
    8,217.42x = 12,322.41 × 3,836.13
  4. Step 4: Simplify right side
    8,217.42x = 47,270,366.67
  5. Step 5: Solve for x
    x = 47,270,366.67/8,217.42
  6. Step 6: Final answer
    x = 5,752.46

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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.