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Finding the Fourth Proportional to 7,161.99, 10,745.70 and 2,782.53

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Solution

The fourth proportional to 7,161.99, 10,745.70 and 2,782.53 is: 4,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.99 : 10,745.70 = 2,782.53 : x
  2. Step 2: Convert to fraction form
    7,161.99/10,745.70 = 2,782.53/x
  3. Step 3: Cross multiply
    7,161.99x = 10,745.70 × 2,782.53
  4. Step 4: Simplify right side
    7,161.99x = 29,900,232.62
  5. Step 5: Solve for x
    x = 29,900,232.62/7,161.99
  6. Step 6: Final answer
    x = 4,174.85

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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.