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Finding the Fourth Proportional to 8,189.52, 12,284.36 and 2,033.52

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Solution

The fourth proportional to 8,189.52, 12,284.36 and 2,033.52 is: 3,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.52 : 12,284.36 = 2,033.52 : x
  2. Step 2: Convert to fraction form
    8,189.52/12,284.36 = 2,033.52/x
  3. Step 3: Cross multiply
    8,189.52x = 12,284.36 × 2,033.52
  4. Step 4: Simplify right side
    8,189.52x = 24,980,491.75
  5. Step 5: Solve for x
    x = 24,980,491.75/8,189.52
  6. Step 6: Final answer
    x = 3,050.30

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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.