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Finding the Fourth Proportional to 8,195.78, 12,293.67 and 3,808.11

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Solution

The fourth proportional to 8,195.78, 12,293.67 and 3,808.11 is: 5,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.78 : 12,293.67 = 3,808.11 : x
  2. Step 2: Convert to fraction form
    8,195.78/12,293.67 = 3,808.11/x
  3. Step 3: Cross multiply
    8,195.78x = 12,293.67 × 3,808.11
  4. Step 4: Simplify right side
    8,195.78x = 46,815,708.05
  5. Step 5: Solve for x
    x = 46,815,708.05/8,195.78
  6. Step 6: Final answer
    x = 5,712.17

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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.