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Finding the Fourth Proportional to 6,515.28, 8,993.16 and 4,163.76

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Solution

The fourth proportional to 6,515.28, 8,993.16 and 4,163.76 is: 5,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.28 : 8,993.16 = 4,163.76 : x
  2. Step 2: Convert to fraction form
    6,515.28/8,993.16 = 4,163.76/x
  3. Step 3: Cross multiply
    6,515.28x = 8,993.16 × 4,163.76
  4. Step 4: Simplify right side
    6,515.28x = 37,445,359.88
  5. Step 5: Solve for x
    x = 37,445,359.88/6,515.28
  6. Step 6: Final answer
    x = 5,747.31

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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.