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Finding the Fourth Proportional to 7,142.46, 10,709.91 and 2,755.50

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Solution

The fourth proportional to 7,142.46, 10,709.91 and 2,755.50 is: 4,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.46 : 10,709.91 = 2,755.50 : x
  2. Step 2: Convert to fraction form
    7,142.46/10,709.91 = 2,755.50/x
  3. Step 3: Cross multiply
    7,142.46x = 10,709.91 × 2,755.50
  4. Step 4: Simplify right side
    7,142.46x = 29,511,157.01
  5. Step 5: Solve for x
    x = 29,511,157.01/7,142.46
  6. Step 6: Final answer
    x = 4,131.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.