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Finding the Fourth Proportional to 11,645.43, 16,072.11 and 6,611.22

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Solution

The fourth proportional to 11,645.43, 16,072.11 and 6,611.22 is: 9,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.43 : 16,072.11 = 6,611.22 : x
  2. Step 2: Convert to fraction form
    11,645.43/16,072.11 = 6,611.22/x
  3. Step 3: Cross multiply
    11,645.43x = 16,072.11 × 6,611.22
  4. Step 4: Simplify right side
    11,645.43x = 106,256,255.07
  5. Step 5: Solve for x
    x = 106,256,255.07/11,645.43
  6. Step 6: Final answer
    x = 9,124.29

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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.