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Finding the Fourth Proportional to 10,213.97, 14,100.68 and 7,940.30

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Solution

The fourth proportional to 10,213.97, 14,100.68 and 7,940.30 is: 10,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.97 : 14,100.68 = 7,940.30 : x
  2. Step 2: Convert to fraction form
    10,213.97/14,100.68 = 7,940.30/x
  3. Step 3: Cross multiply
    10,213.97x = 14,100.68 × 7,940.30
  4. Step 4: Simplify right side
    10,213.97x = 111,963,578.75
  5. Step 5: Solve for x
    x = 111,963,578.75/10,213.97
  6. Step 6: Final answer
    x = 10,961.81

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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.