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Finding the Fourth Proportional to 8,069.52, 12,082.41 and 4,165.68

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Solution

The fourth proportional to 8,069.52, 12,082.41 and 4,165.68 is: 6,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.52 : 12,082.41 = 4,165.68 : x
  2. Step 2: Convert to fraction form
    8,069.52/12,082.41 = 4,165.68/x
  3. Step 3: Cross multiply
    8,069.52x = 12,082.41 × 4,165.68
  4. Step 4: Simplify right side
    8,069.52x = 50,331,453.69
  5. Step 5: Solve for x
    x = 50,331,453.69/8,069.52
  6. Step 6: Final answer
    x = 6,237.23

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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.