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Finding the Fourth Proportional to 8,326.73, 12,401.73 and 8,286.50

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Solution

The fourth proportional to 8,326.73, 12,401.73 and 8,286.50 is: 12,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.73 : 12,401.73 = 8,286.50 : x
  2. Step 2: Convert to fraction form
    8,326.73/12,401.73 = 8,286.50/x
  3. Step 3: Cross multiply
    8,326.73x = 12,401.73 × 8,286.50
  4. Step 4: Simplify right side
    8,326.73x = 102,766,873.64
  5. Step 5: Solve for x
    x = 102,766,873.64/8,326.73
  6. Step 6: Final answer
    x = 12,341.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.