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Finding the Fourth Proportional to 11,912.64, 16,438.08 and 6,876.84

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Solution

The fourth proportional to 11,912.64, 16,438.08 and 6,876.84 is: 9,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.64 : 16,438.08 = 6,876.84 : x
  2. Step 2: Convert to fraction form
    11,912.64/16,438.08 = 6,876.84/x
  3. Step 3: Cross multiply
    11,912.64x = 16,438.08 × 6,876.84
  4. Step 4: Simplify right side
    11,912.64x = 113,042,046.07
  5. Step 5: Solve for x
    x = 113,042,046.07/11,912.64
  6. Step 6: Final answer
    x = 9,489.25

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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.