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Finding the Fourth Proportional to 11,915.26, 16,444.48 and 8,137.22

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Solution

The fourth proportional to 11,915.26, 16,444.48 and 8,137.22 is: 11,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.26 : 16,444.48 = 8,137.22 : x
  2. Step 2: Convert to fraction form
    11,915.26/16,444.48 = 8,137.22/x
  3. Step 3: Cross multiply
    11,915.26x = 16,444.48 × 8,137.22
  4. Step 4: Simplify right side
    11,915.26x = 133,812,351.55
  5. Step 5: Solve for x
    x = 133,812,351.55/11,915.26
  6. Step 6: Final answer
    x = 11,230.33

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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.