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Finding the Fourth Proportional to 8,181.81, 12,272.72 and 3,796.88

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Solution

The fourth proportional to 8,181.81, 12,272.72 and 3,796.88 is: 5,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.81 : 12,272.72 = 3,796.88 : x
  2. Step 2: Convert to fraction form
    8,181.81/12,272.72 = 3,796.88/x
  3. Step 3: Cross multiply
    8,181.81x = 12,272.72 × 3,796.88
  4. Step 4: Simplify right side
    8,181.81x = 46,597,964.77
  5. Step 5: Solve for x
    x = 46,597,964.77/8,181.81
  6. Step 6: Final answer
    x = 5,695.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.