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Finding the Fourth Proportional to 8,057.82, 12,089.76 and 3,127.74

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Solution

The fourth proportional to 8,057.82, 12,089.76 and 3,127.74 is: 4,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.82 : 12,089.76 = 3,127.74 : x
  2. Step 2: Convert to fraction form
    8,057.82/12,089.76 = 3,127.74/x
  3. Step 3: Cross multiply
    8,057.82x = 12,089.76 × 3,127.74
  4. Step 4: Simplify right side
    8,057.82x = 37,813,625.94
  5. Step 5: Solve for x
    x = 37,813,625.94/8,057.82
  6. Step 6: Final answer
    x = 4,692.79

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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.