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Finding the Fourth Proportional to 8,311.48, 11,474.08 and 6,418.81

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Solution

The fourth proportional to 8,311.48, 11,474.08 and 6,418.81 is: 8,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.48 : 11,474.08 = 6,418.81 : x
  2. Step 2: Convert to fraction form
    8,311.48/11,474.08 = 6,418.81/x
  3. Step 3: Cross multiply
    8,311.48x = 11,474.08 × 6,418.81
  4. Step 4: Simplify right side
    8,311.48x = 73,649,937.74
  5. Step 5: Solve for x
    x = 73,649,937.74/8,311.48
  6. Step 6: Final answer
    x = 8,861.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.