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Finding the Fourth Proportional to 10,190.07, 14,062.01 and 5,942.07

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Solution

The fourth proportional to 10,190.07, 14,062.01 and 5,942.07 is: 8,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.07 : 14,062.01 = 5,942.07 : x
  2. Step 2: Convert to fraction form
    10,190.07/14,062.01 = 5,942.07/x
  3. Step 3: Cross multiply
    10,190.07x = 14,062.01 × 5,942.07
  4. Step 4: Simplify right side
    10,190.07x = 83,557,418.05
  5. Step 5: Solve for x
    x = 83,557,418.05/10,190.07
  6. Step 6: Final answer
    x = 8,199.89

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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.