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Finding the Fourth Proportional to 8,243.91, 12,367.42 and 3,313.94

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Solution

The fourth proportional to 8,243.91, 12,367.42 and 3,313.94 is: 4,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.91 : 12,367.42 = 3,313.94 : x
  2. Step 2: Convert to fraction form
    8,243.91/12,367.42 = 3,313.94/x
  3. Step 3: Cross multiply
    8,243.91x = 12,367.42 × 3,313.94
  4. Step 4: Simplify right side
    8,243.91x = 40,984,887.83
  5. Step 5: Solve for x
    x = 40,984,887.83/8,243.91
  6. Step 6: Final answer
    x = 4,971.54

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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.