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Finding the Fourth Proportional to 8,162.44, 12,249.13 and 5,242.79

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Solution

The fourth proportional to 8,162.44, 12,249.13 and 5,242.79 is: 7,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.44 : 12,249.13 = 5,242.79 : x
  2. Step 2: Convert to fraction form
    8,162.44/12,249.13 = 5,242.79/x
  3. Step 3: Cross multiply
    8,162.44x = 12,249.13 × 5,242.79
  4. Step 4: Simplify right side
    8,162.44x = 64,219,616.27
  5. Step 5: Solve for x
    x = 64,219,616.27/8,162.44
  6. Step 6: Final answer
    x = 7,867.70

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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.