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Finding the Fourth Proportional to 11,819.89, 16,318.11 and 7,846.44

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Solution

The fourth proportional to 11,819.89, 16,318.11 and 7,846.44 is: 10,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.89 : 16,318.11 = 7,846.44 : x
  2. Step 2: Convert to fraction form
    11,819.89/16,318.11 = 7,846.44/x
  3. Step 3: Cross multiply
    11,819.89x = 16,318.11 × 7,846.44
  4. Step 4: Simplify right side
    11,819.89x = 128,039,039.26
  5. Step 5: Solve for x
    x = 128,039,039.26/11,819.89
  6. Step 6: Final answer
    x = 10,832.51

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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.