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Finding the Fourth Proportional to 11,916.44, 16,443.90 and 6,611.08

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Solution

The fourth proportional to 11,916.44, 16,443.90 and 6,611.08 is: 9,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.44 : 16,443.90 = 6,611.08 : x
  2. Step 2: Convert to fraction form
    11,916.44/16,443.90 = 6,611.08/x
  3. Step 3: Cross multiply
    11,916.44x = 16,443.90 × 6,611.08
  4. Step 4: Simplify right side
    11,916.44x = 108,711,938.41
  5. Step 5: Solve for x
    x = 108,711,938.41/11,916.44
  6. Step 6: Final answer
    x = 9,122.85

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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.