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Finding the Fourth Proportional to 11,941.43, 16,480.49 and 6,837.44

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Solution

The fourth proportional to 11,941.43, 16,480.49 and 6,837.44 is: 9,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.43 : 16,480.49 = 6,837.44 : x
  2. Step 2: Convert to fraction form
    11,941.43/16,480.49 = 6,837.44/x
  3. Step 3: Cross multiply
    11,941.43x = 16,480.49 × 6,837.44
  4. Step 4: Simplify right side
    11,941.43x = 112,684,244.96
  5. Step 5: Solve for x
    x = 112,684,244.96/11,941.43
  6. Step 6: Final answer
    x = 9,436.42

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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.