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Finding the Fourth Proportional to 8,231.58, 11,346.66 and 6,234.12

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Solution

The fourth proportional to 8,231.58, 11,346.66 and 6,234.12 is: 8,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.58 : 11,346.66 = 6,234.12 : x
  2. Step 2: Convert to fraction form
    8,231.58/11,346.66 = 6,234.12/x
  3. Step 3: Cross multiply
    8,231.58x = 11,346.66 × 6,234.12
  4. Step 4: Simplify right side
    8,231.58x = 70,736,440.04
  5. Step 5: Solve for x
    x = 70,736,440.04/8,231.58
  6. Step 6: Final answer
    x = 8,593.30

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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.