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Finding the Fourth Proportional to 7,704.41, 11,500.87 and 6,770.23

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Solution

The fourth proportional to 7,704.41, 11,500.87 and 6,770.23 is: 10,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.41 : 11,500.87 = 6,770.23 : x
  2. Step 2: Convert to fraction form
    7,704.41/11,500.87 = 6,770.23/x
  3. Step 3: Cross multiply
    7,704.41x = 11,500.87 × 6,770.23
  4. Step 4: Simplify right side
    7,704.41x = 77,863,489.42
  5. Step 5: Solve for x
    x = 77,863,489.42/7,704.41
  6. Step 6: Final answer
    x = 10,106.36

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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.