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Finding the Fourth Proportional to 8,104.82, 12,148.85 and 3,105.82

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Solution

The fourth proportional to 8,104.82, 12,148.85 and 3,105.82 is: 4,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.82 : 12,148.85 = 3,105.82 : x
  2. Step 2: Convert to fraction form
    8,104.82/12,148.85 = 3,105.82/x
  3. Step 3: Cross multiply
    8,104.82x = 12,148.85 × 3,105.82
  4. Step 4: Simplify right side
    8,104.82x = 37,732,080.56
  5. Step 5: Solve for x
    x = 37,732,080.56/8,104.82
  6. Step 6: Final answer
    x = 4,655.51

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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.