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Finding the Fourth Proportional to 8,189.75, 12,284.62 and 5,434.03

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Solution

The fourth proportional to 8,189.75, 12,284.62 and 5,434.03 is: 8,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.75 : 12,284.62 = 5,434.03 : x
  2. Step 2: Convert to fraction form
    8,189.75/12,284.62 = 5,434.03/x
  3. Step 3: Cross multiply
    8,189.75x = 12,284.62 × 5,434.03
  4. Step 4: Simplify right side
    8,189.75x = 66,754,932.20
  5. Step 5: Solve for x
    x = 66,754,932.20/8,189.75
  6. Step 6: Final answer
    x = 8,151.04

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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.