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Finding the Fourth Proportional to 8,234.27, 11,356.11 and 6,640.46

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Solution

The fourth proportional to 8,234.27, 11,356.11 and 6,640.46 is: 9,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.27 : 11,356.11 = 6,640.46 : x
  2. Step 2: Convert to fraction form
    8,234.27/11,356.11 = 6,640.46/x
  3. Step 3: Cross multiply
    8,234.27x = 11,356.11 × 6,640.46
  4. Step 4: Simplify right side
    8,234.27x = 75,409,780.02
  5. Step 5: Solve for x
    x = 75,409,780.02/8,234.27
  6. Step 6: Final answer
    x = 9,158.04

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