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Finding the Fourth Proportional to 6,774.97, 10,163.73 and 3,077.46

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Solution

The fourth proportional to 6,774.97, 10,163.73 and 3,077.46 is: 4,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.97 : 10,163.73 = 3,077.46 : x
  2. Step 2: Convert to fraction form
    6,774.97/10,163.73 = 3,077.46/x
  3. Step 3: Cross multiply
    6,774.97x = 10,163.73 × 3,077.46
  4. Step 4: Simplify right side
    6,774.97x = 31,278,472.53
  5. Step 5: Solve for x
    x = 31,278,472.53/6,774.97
  6. Step 6: Final answer
    x = 4,616.77

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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.