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Finding the Fourth Proportional to 7,704.07, 11,500.37 and 6,769.90

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Solution

The fourth proportional to 7,704.07, 11,500.37 and 6,769.90 is: 10,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.07 : 11,500.37 = 6,769.90 : x
  2. Step 2: Convert to fraction form
    7,704.07/11,500.37 = 6,769.90/x
  3. Step 3: Cross multiply
    7,704.07x = 11,500.37 × 6,769.90
  4. Step 4: Simplify right side
    7,704.07x = 77,856,354.86
  5. Step 5: Solve for x
    x = 77,856,354.86/7,704.07
  6. Step 6: Final answer
    x = 10,105.87

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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.