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Finding the Fourth Proportional to 7,704.92, 11,561.74 and 3,544.36

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Solution

The fourth proportional to 7,704.92, 11,561.74 and 3,544.36 is: 5,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.92 : 11,561.74 = 3,544.36 : x
  2. Step 2: Convert to fraction form
    7,704.92/11,561.74 = 3,544.36/x
  3. Step 3: Cross multiply
    7,704.92x = 11,561.74 × 3,544.36
  4. Step 4: Simplify right side
    7,704.92x = 40,978,931.02
  5. Step 5: Solve for x
    x = 40,978,931.02/7,704.92
  6. Step 6: Final answer
    x = 5,318.54

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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.