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Finding the Fourth Proportional to 8,057.97, 12,087 and 2,864.25

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Solution

The fourth proportional to 8,057.97, 12,087 and 2,864.25 is: 4,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.97 : 12,087 = 2,864.25 : x
  2. Step 2: Convert to fraction form
    8,057.97/12,087 = 2,864.25/x
  3. Step 3: Cross multiply
    8,057.97x = 12,087 × 2,864.25
  4. Step 4: Simplify right side
    8,057.97x = 34,620,189.75
  5. Step 5: Solve for x
    x = 34,620,189.75/8,057.97
  6. Step 6: Final answer
    x = 4,296.39

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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.