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Finding the Fourth Proportional to 6,517.64, 8,996.53 and 4,063.81

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Solution

The fourth proportional to 6,517.64, 8,996.53 and 4,063.81 is: 5,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.64 : 8,996.53 = 4,063.81 : x
  2. Step 2: Convert to fraction form
    6,517.64/8,996.53 = 4,063.81/x
  3. Step 3: Cross multiply
    6,517.64x = 8,996.53 × 4,063.81
  4. Step 4: Simplify right side
    6,517.64x = 36,560,188.58
  5. Step 5: Solve for x
    x = 36,560,188.58/6,517.64
  6. Step 6: Final answer
    x = 5,609.42

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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.