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Finding the Fourth Proportional to 7,704.14, 11,562.77 and 3,027.42

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Solution

The fourth proportional to 7,704.14, 11,562.77 and 3,027.42 is: 4,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.14 : 11,562.77 = 3,027.42 : x
  2. Step 2: Convert to fraction form
    7,704.14/11,562.77 = 3,027.42/x
  3. Step 3: Cross multiply
    7,704.14x = 11,562.77 × 3,027.42
  4. Step 4: Simplify right side
    7,704.14x = 35,005,346.02
  5. Step 5: Solve for x
    x = 35,005,346.02/7,704.14
  6. Step 6: Final answer
    x = 4,543.71

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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.