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Finding the Fourth Proportional to 7,704.08, 11,556.12 and 6,174.80

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Solution

The fourth proportional to 7,704.08, 11,556.12 and 6,174.80 is: 9,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.08 : 11,556.12 = 6,174.80 : x
  2. Step 2: Convert to fraction form
    7,704.08/11,556.12 = 6,174.80/x
  3. Step 3: Cross multiply
    7,704.08x = 11,556.12 × 6,174.80
  4. Step 4: Simplify right side
    7,704.08x = 71,356,729.78
  5. Step 5: Solve for x
    x = 71,356,729.78/7,704.08
  6. Step 6: Final answer
    x = 9,262.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.