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Finding the Fourth Proportional to 6,834.98, 10,249.26 and 4,062.02

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Solution

The fourth proportional to 6,834.98, 10,249.26 and 4,062.02 is: 6,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.98 : 10,249.26 = 4,062.02 : x
  2. Step 2: Convert to fraction form
    6,834.98/10,249.26 = 4,062.02/x
  3. Step 3: Cross multiply
    6,834.98x = 10,249.26 × 4,062.02
  4. Step 4: Simplify right side
    6,834.98x = 41,632,699.11
  5. Step 5: Solve for x
    x = 41,632,699.11/6,834.98
  6. Step 6: Final answer
    x = 6,091.12

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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.