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Finding the Fourth Proportional to 11,912.96, 16,439.98 and 6,607.84

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Solution

The fourth proportional to 11,912.96, 16,439.98 and 6,607.84 is: 9,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.96 : 16,439.98 = 6,607.84 : x
  2. Step 2: Convert to fraction form
    11,912.96/16,439.98 = 6,607.84/x
  3. Step 3: Cross multiply
    11,912.96x = 16,439.98 × 6,607.84
  4. Step 4: Simplify right side
    11,912.96x = 108,632,757.44
  5. Step 5: Solve for x
    x = 108,632,757.44/11,912.96
  6. Step 6: Final answer
    x = 9,118.87

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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.