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Finding the Fourth Proportional to 8,216.34, 12,329.97 and 3,022.21

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Solution

The fourth proportional to 8,216.34, 12,329.97 and 3,022.21 is: 4,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.34 : 12,329.97 = 3,022.21 : x
  2. Step 2: Convert to fraction form
    8,216.34/12,329.97 = 3,022.21/x
  3. Step 3: Cross multiply
    8,216.34x = 12,329.97 × 3,022.21
  4. Step 4: Simplify right side
    8,216.34x = 37,263,758.63
  5. Step 5: Solve for x
    x = 37,263,758.63/8,216.34
  6. Step 6: Final answer
    x = 4,535.32

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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.