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Finding the Fourth Proportional to 6,976.35, 10,441.74 and 5,126.97

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Solution

The fourth proportional to 6,976.35, 10,441.74 and 5,126.97 is: 7,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.35 : 10,441.74 = 5,126.97 : x
  2. Step 2: Convert to fraction form
    6,976.35/10,441.74 = 5,126.97/x
  3. Step 3: Cross multiply
    6,976.35x = 10,441.74 × 5,126.97
  4. Step 4: Simplify right side
    6,976.35x = 53,534,487.73
  5. Step 5: Solve for x
    x = 53,534,487.73/6,976.35
  6. Step 6: Final answer
    x = 7,673.71

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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.