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Finding the Fourth Proportional to 6,858.45, 10,272.42 and 4,489.97

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Solution

The fourth proportional to 6,858.45, 10,272.42 and 4,489.97 is: 6,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.45 : 10,272.42 = 4,489.97 : x
  2. Step 2: Convert to fraction form
    6,858.45/10,272.42 = 4,489.97/x
  3. Step 3: Cross multiply
    6,858.45x = 10,272.42 × 4,489.97
  4. Step 4: Simplify right side
    6,858.45x = 46,122,806.27
  5. Step 5: Solve for x
    x = 46,122,806.27/6,858.45
  6. Step 6: Final answer
    x = 6,724.96

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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.