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Finding the Fourth Proportional to 8,216.74, 12,326.33 and 3,022.21

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Solution

The fourth proportional to 8,216.74, 12,326.33 and 3,022.21 is: 4,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.74 : 12,326.33 = 3,022.21 : x
  2. Step 2: Convert to fraction form
    8,216.74/12,326.33 = 3,022.21/x
  3. Step 3: Cross multiply
    8,216.74x = 12,326.33 × 3,022.21
  4. Step 4: Simplify right side
    8,216.74x = 37,252,757.79
  5. Step 5: Solve for x
    x = 37,252,757.79/8,216.74
  6. Step 6: Final answer
    x = 4,533.76

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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.