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Finding the Fourth Proportional to 11,915.28, 16,446.27 and 7,436.31

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Solution

The fourth proportional to 11,915.28, 16,446.27 and 7,436.31 is: 10,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.28 : 16,446.27 = 7,436.31 : x
  2. Step 2: Convert to fraction form
    11,915.28/16,446.27 = 7,436.31/x
  3. Step 3: Cross multiply
    11,915.28x = 16,446.27 × 7,436.31
  4. Step 4: Simplify right side
    11,915.28x = 122,299,562.06
  5. Step 5: Solve for x
    x = 122,299,562.06/11,915.28
  6. Step 6: Final answer
    x = 10,264.09

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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.