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Finding the Fourth Proportional to 8,022.54, 12,033.84 and 5,266.65

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Solution

The fourth proportional to 8,022.54, 12,033.84 and 5,266.65 is: 7,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.54 : 12,033.84 = 5,266.65 : x
  2. Step 2: Convert to fraction form
    8,022.54/12,033.84 = 5,266.65/x
  3. Step 3: Cross multiply
    8,022.54x = 12,033.84 × 5,266.65
  4. Step 4: Simplify right side
    8,022.54x = 63,378,023.44
  5. Step 5: Solve for x
    x = 63,378,023.44/8,022.54
  6. Step 6: Final answer
    x = 7,899.99

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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.