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Finding the Fourth Proportional to 7,282.87, 10,046.41 and 6,016.43

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Solution

The fourth proportional to 7,282.87, 10,046.41 and 6,016.43 is: 8,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.87 : 10,046.41 = 6,016.43 : x
  2. Step 2: Convert to fraction form
    7,282.87/10,046.41 = 6,016.43/x
  3. Step 3: Cross multiply
    7,282.87x = 10,046.41 × 6,016.43
  4. Step 4: Simplify right side
    7,282.87x = 60,443,537.56
  5. Step 5: Solve for x
    x = 60,443,537.56/7,282.87
  6. Step 6: Final answer
    x = 8,299.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.