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Finding the Fourth Proportional to 8,234.12, 11,349.79 and 6,438.42

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Solution

The fourth proportional to 8,234.12, 11,349.79 and 6,438.42 is: 8,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.12 : 11,349.79 = 6,438.42 : x
  2. Step 2: Convert to fraction form
    8,234.12/11,349.79 = 6,438.42/x
  3. Step 3: Cross multiply
    8,234.12x = 11,349.79 × 6,438.42
  4. Step 4: Simplify right side
    8,234.12x = 73,074,698.84
  5. Step 5: Solve for x
    x = 73,074,698.84/8,234.12
  6. Step 6: Final answer
    x = 8,874.62

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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.