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Finding the Fourth Proportional to 8,186.28, 12,281.04 and 2,992.56

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Solution

The fourth proportional to 8,186.28, 12,281.04 and 2,992.56 is: 4,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.28 : 12,281.04 = 2,992.56 : x
  2. Step 2: Convert to fraction form
    8,186.28/12,281.04 = 2,992.56/x
  3. Step 3: Cross multiply
    8,186.28x = 12,281.04 × 2,992.56
  4. Step 4: Simplify right side
    8,186.28x = 36,751,749.06
  5. Step 5: Solve for x
    x = 36,751,749.06/8,186.28
  6. Step 6: Final answer
    x = 4,489.43

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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.