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Finding the Fourth Proportional to 12,611.44, 18,916.76 and 3,846

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Solution

The fourth proportional to 12,611.44, 18,916.76 and 3,846 is: 5,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.44 : 18,916.76 = 3,846 : x
  2. Step 2: Convert to fraction form
    12,611.44/18,916.76 = 3,846/x
  3. Step 3: Cross multiply
    12,611.44x = 18,916.76 × 3,846
  4. Step 4: Simplify right side
    12,611.44x = 72,753,858.96
  5. Step 5: Solve for x
    x = 72,753,858.96/12,611.44
  6. Step 6: Final answer
    x = 5,768.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.