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Finding the Fourth Proportional to 11,824.72, 16,318.72 and 6,519.52

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Solution

The fourth proportional to 11,824.72, 16,318.72 and 6,519.52 is: 8,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.72 : 16,318.72 = 6,519.52 : x
  2. Step 2: Convert to fraction form
    11,824.72/16,318.72 = 6,519.52/x
  3. Step 3: Cross multiply
    11,824.72x = 16,318.72 × 6,519.52
  4. Step 4: Simplify right side
    11,824.72x = 106,390,221.41
  5. Step 5: Solve for x
    x = 106,390,221.41/11,824.72
  6. Step 6: Final answer
    x = 8,997.27

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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.