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Finding the Fourth Proportional to 7,174.14, 10,750.41 and 4,249.50

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Solution

The fourth proportional to 7,174.14, 10,750.41 and 4,249.50 is: 6,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.14 : 10,750.41 = 4,249.50 : x
  2. Step 2: Convert to fraction form
    7,174.14/10,750.41 = 4,249.50/x
  3. Step 3: Cross multiply
    7,174.14x = 10,750.41 × 4,249.50
  4. Step 4: Simplify right side
    7,174.14x = 45,683,867.30
  5. Step 5: Solve for x
    x = 45,683,867.30/7,174.14
  6. Step 6: Final answer
    x = 6,367.85

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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.