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Finding the Fourth Proportional to 6,760.94, 10,144.76 and 4,564.85

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Solution

The fourth proportional to 6,760.94, 10,144.76 and 4,564.85 is: 6,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.94 : 10,144.76 = 4,564.85 : x
  2. Step 2: Convert to fraction form
    6,760.94/10,144.76 = 4,564.85/x
  3. Step 3: Cross multiply
    6,760.94x = 10,144.76 × 4,564.85
  4. Step 4: Simplify right side
    6,760.94x = 46,309,234.14
  5. Step 5: Solve for x
    x = 46,309,234.14/6,760.94
  6. Step 6: Final answer
    x = 6,849.53

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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.