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Finding the Fourth Proportional to 8,022.65, 12,033.06 and 2,476.02

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Solution

The fourth proportional to 8,022.65, 12,033.06 and 2,476.02 is: 3,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.65 : 12,033.06 = 2,476.02 : x
  2. Step 2: Convert to fraction form
    8,022.65/12,033.06 = 2,476.02/x
  3. Step 3: Cross multiply
    8,022.65x = 12,033.06 × 2,476.02
  4. Step 4: Simplify right side
    8,022.65x = 29,794,065.37
  5. Step 5: Solve for x
    x = 29,794,065.37/8,022.65
  6. Step 6: Final answer
    x = 3,713.75

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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.