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Finding the Fourth Proportional to 11,658.25, 16,092.57 and 6,942.43

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Solution

The fourth proportional to 11,658.25, 16,092.57 and 6,942.43 is: 9,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.25 : 16,092.57 = 6,942.43 : x
  2. Step 2: Convert to fraction form
    11,658.25/16,092.57 = 6,942.43/x
  3. Step 3: Cross multiply
    11,658.25x = 16,092.57 × 6,942.43
  4. Step 4: Simplify right side
    11,658.25x = 111,721,540.75
  5. Step 5: Solve for x
    x = 111,721,540.75/11,658.25
  6. Step 6: Final answer
    x = 9,583.05

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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.