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Finding the Fourth Proportional to 8,022.83, 12,033.83 and 2,758.32

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Solution

The fourth proportional to 8,022.83, 12,033.83 and 2,758.32 is: 4,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.83 : 12,033.83 = 2,758.32 : x
  2. Step 2: Convert to fraction form
    8,022.83/12,033.83 = 2,758.32/x
  3. Step 3: Cross multiply
    8,022.83x = 12,033.83 × 2,758.32
  4. Step 4: Simplify right side
    8,022.83x = 33,193,140.17
  5. Step 5: Solve for x
    x = 33,193,140.17/8,022.83
  6. Step 6: Final answer
    x = 4,137.34

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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.