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Finding the Fourth Proportional to 7,174.98, 10,739.40 and 3,834.87

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Solution

The fourth proportional to 7,174.98, 10,739.40 and 3,834.87 is: 5,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.98 : 10,739.40 = 3,834.87 : x
  2. Step 2: Convert to fraction form
    7,174.98/10,739.40 = 3,834.87/x
  3. Step 3: Cross multiply
    7,174.98x = 10,739.40 × 3,834.87
  4. Step 4: Simplify right side
    7,174.98x = 41,184,202.88
  5. Step 5: Solve for x
    x = 41,184,202.88/7,174.98
  6. Step 6: Final answer
    x = 5,739.97

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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.