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Finding the Fourth Proportional to 11,722.73, 16,177.73 and 6,418.04

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Solution

The fourth proportional to 11,722.73, 16,177.73 and 6,418.04 is: 8,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.73 : 16,177.73 = 6,418.04 : x
  2. Step 2: Convert to fraction form
    11,722.73/16,177.73 = 6,418.04/x
  3. Step 3: Cross multiply
    11,722.73x = 16,177.73 × 6,418.04
  4. Step 4: Simplify right side
    11,722.73x = 103,829,205.27
  5. Step 5: Solve for x
    x = 103,829,205.27/11,722.73
  6. Step 6: Final answer
    x = 8,857.09

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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.