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Finding the Fourth Proportional to 11,468.45, 15,819.17 and 8,286.42

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Solution

The fourth proportional to 11,468.45, 15,819.17 and 8,286.42 is: 11,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.45 : 15,819.17 = 8,286.42 : x
  2. Step 2: Convert to fraction form
    11,468.45/15,819.17 = 8,286.42/x
  3. Step 3: Cross multiply
    11,468.45x = 15,819.17 × 8,286.42
  4. Step 4: Simplify right side
    11,468.45x = 131,084,286.67
  5. Step 5: Solve for x
    x = 131,084,286.67/11,468.45
  6. Step 6: Final answer
    x = 11,429.99

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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.