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Finding the Fourth Proportional to 7,174.23, 10,758.90 and 2,493

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Solution

The fourth proportional to 7,174.23, 10,758.90 and 2,493 is: 3,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.23 : 10,758.90 = 2,493 : x
  2. Step 2: Convert to fraction form
    7,174.23/10,758.90 = 2,493/x
  3. Step 3: Cross multiply
    7,174.23x = 10,758.90 × 2,493
  4. Step 4: Simplify right side
    7,174.23x = 26,821,937.70
  5. Step 5: Solve for x
    x = 26,821,937.70/7,174.23
  6. Step 6: Final answer
    x = 3,738.65

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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.