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Finding the Fourth Proportional to 7,143.96, 10,716.34 and 2,761.44

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Solution

The fourth proportional to 7,143.96, 10,716.34 and 2,761.44 is: 4,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.96 : 10,716.34 = 2,761.44 : x
  2. Step 2: Convert to fraction form
    7,143.96/10,716.34 = 2,761.44/x
  3. Step 3: Cross multiply
    7,143.96x = 10,716.34 × 2,761.44
  4. Step 4: Simplify right side
    7,143.96x = 29,592,529.93
  5. Step 5: Solve for x
    x = 29,592,529.93/7,143.96
  6. Step 6: Final answer
    x = 4,142.31

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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.