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Finding the Fourth Proportional to 11,915.76, 16,443.78 and 6,611.42

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Solution

The fourth proportional to 11,915.76, 16,443.78 and 6,611.42 is: 9,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.76 : 16,443.78 = 6,611.42 : x
  2. Step 2: Convert to fraction form
    11,915.76/16,443.78 = 6,611.42/x
  3. Step 3: Cross multiply
    11,915.76x = 16,443.78 × 6,611.42
  4. Step 4: Simplify right side
    11,915.76x = 108,716,735.97
  5. Step 5: Solve for x
    x = 108,716,735.97/11,915.76
  6. Step 6: Final answer
    x = 9,123.78

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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.