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Finding the Fourth Proportional to 7,704.31, 11,500.73 and 6,770.14

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Solution

The fourth proportional to 7,704.31, 11,500.73 and 6,770.14 is: 10,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.31 : 11,500.73 = 6,770.14 : x
  2. Step 2: Convert to fraction form
    7,704.31/11,500.73 = 6,770.14/x
  3. Step 3: Cross multiply
    7,704.31x = 11,500.73 × 6,770.14
  4. Step 4: Simplify right side
    7,704.31x = 77,861,487.08
  5. Step 5: Solve for x
    x = 77,861,487.08/7,704.31
  6. Step 6: Final answer
    x = 10,106.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.