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Finding the Fourth Proportional to 6,773.97, 10,162.23 and 3,076.46

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Solution

The fourth proportional to 6,773.97, 10,162.23 and 3,076.46 is: 4,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.97 : 10,162.23 = 3,076.46 : x
  2. Step 2: Convert to fraction form
    6,773.97/10,162.23 = 3,076.46/x
  3. Step 3: Cross multiply
    6,773.97x = 10,162.23 × 3,076.46
  4. Step 4: Simplify right side
    6,773.97x = 31,263,694.11
  5. Step 5: Solve for x
    x = 31,263,694.11/6,773.97
  6. Step 6: Final answer
    x = 4,615.27

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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.