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Finding the Fourth Proportional to 10,940.94, 16,400.07 and 5,092.74

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Solution

The fourth proportional to 10,940.94, 16,400.07 and 5,092.74 is: 7,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.94 : 16,400.07 = 5,092.74 : x
  2. Step 2: Convert to fraction form
    10,940.94/16,400.07 = 5,092.74/x
  3. Step 3: Cross multiply
    10,940.94x = 16,400.07 × 5,092.74
  4. Step 4: Simplify right side
    10,940.94x = 83,521,292.49
  5. Step 5: Solve for x
    x = 83,521,292.49/10,940.94
  6. Step 6: Final answer
    x = 7,633.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.