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Finding the Fourth Proportional to 6,512.43, 8,991.62 and 4,157.76

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Solution

The fourth proportional to 6,512.43, 8,991.62 and 4,157.76 is: 5,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.43 : 8,991.62 = 4,157.76 : x
  2. Step 2: Convert to fraction form
    6,512.43/8,991.62 = 4,157.76/x
  3. Step 3: Cross multiply
    6,512.43x = 8,991.62 × 4,157.76
  4. Step 4: Simplify right side
    6,512.43x = 37,384,997.97
  5. Step 5: Solve for x
    x = 37,384,997.97/6,512.43
  6. Step 6: Final answer
    x = 5,740.56

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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.