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Finding the Fourth Proportional to 10,189.39, 14,062.28 and 5,940.12

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Solution

The fourth proportional to 10,189.39, 14,062.28 and 5,940.12 is: 8,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.39 : 14,062.28 = 5,940.12 : x
  2. Step 2: Convert to fraction form
    10,189.39/14,062.28 = 5,940.12/x
  3. Step 3: Cross multiply
    10,189.39x = 14,062.28 × 5,940.12
  4. Step 4: Simplify right side
    10,189.39x = 83,531,600.97
  5. Step 5: Solve for x
    x = 83,531,600.97/10,189.39
  6. Step 6: Final answer
    x = 8,197.90

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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.