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Finding the Fourth Proportional to 8,162.94, 12,249.88 and 5,243.29

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Solution

The fourth proportional to 8,162.94, 12,249.88 and 5,243.29 is: 7,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.94 : 12,249.88 = 5,243.29 : x
  2. Step 2: Convert to fraction form
    8,162.94/12,249.88 = 5,243.29/x
  3. Step 3: Cross multiply
    8,162.94x = 12,249.88 × 5,243.29
  4. Step 4: Simplify right side
    8,162.94x = 64,229,673.31
  5. Step 5: Solve for x
    x = 64,229,673.31/8,162.94
  6. Step 6: Final answer
    x = 7,868.45

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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.