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Finding the Fourth Proportional to 8,181.78, 12,267.73 and 3,678.01

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Solution

The fourth proportional to 8,181.78, 12,267.73 and 3,678.01 is: 5,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.78 : 12,267.73 = 3,678.01 : x
  2. Step 2: Convert to fraction form
    8,181.78/12,267.73 = 3,678.01/x
  3. Step 3: Cross multiply
    8,181.78x = 12,267.73 × 3,678.01
  4. Step 4: Simplify right side
    8,181.78x = 45,120,833.62
  5. Step 5: Solve for x
    x = 45,120,833.62/8,181.78
  6. Step 6: Final answer
    x = 5,514.79

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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.