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Finding the Fourth Proportional to 11,824.82, 16,318.98 and 6,519.62

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Solution

The fourth proportional to 11,824.82, 16,318.98 and 6,519.62 is: 8,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.82 : 16,318.98 = 6,519.62 : x
  2. Step 2: Convert to fraction form
    11,824.82/16,318.98 = 6,519.62/x
  3. Step 3: Cross multiply
    11,824.82x = 16,318.98 × 6,519.62
  4. Step 4: Simplify right side
    11,824.82x = 106,393,548.39
  5. Step 5: Solve for x
    x = 106,393,548.39/11,824.82
  6. Step 6: Final answer
    x = 8,997.48

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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.