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Finding the Fourth Proportional to 8,232.11, 12,348.14 and 3,298.22

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Solution

The fourth proportional to 8,232.11, 12,348.14 and 3,298.22 is: 4,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.11 : 12,348.14 = 3,298.22 : x
  2. Step 2: Convert to fraction form
    8,232.11/12,348.14 = 3,298.22/x
  3. Step 3: Cross multiply
    8,232.11x = 12,348.14 × 3,298.22
  4. Step 4: Simplify right side
    8,232.11x = 40,726,896.69
  5. Step 5: Solve for x
    x = 40,726,896.69/8,232.11
  6. Step 6: Final answer
    x = 4,947.32

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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.