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Finding the Fourth Proportional to 6,830.72, 10,249.29 and 3,542.03

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Solution

The fourth proportional to 6,830.72, 10,249.29 and 3,542.03 is: 5,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.72 : 10,249.29 = 3,542.03 : x
  2. Step 2: Convert to fraction form
    6,830.72/10,249.29 = 3,542.03/x
  3. Step 3: Cross multiply
    6,830.72x = 10,249.29 × 3,542.03
  4. Step 4: Simplify right side
    6,830.72x = 36,303,292.66
  5. Step 5: Solve for x
    x = 36,303,292.66/6,830.72
  6. Step 6: Final answer
    x = 5,314.71

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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.