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Finding the Fourth Proportional to 8,485.72, 12,704.78 and 6,399.16

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Solution

The fourth proportional to 8,485.72, 12,704.78 and 6,399.16 is: 9,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.72 : 12,704.78 = 6,399.16 : x
  2. Step 2: Convert to fraction form
    8,485.72/12,704.78 = 6,399.16/x
  3. Step 3: Cross multiply
    8,485.72x = 12,704.78 × 6,399.16
  4. Step 4: Simplify right side
    8,485.72x = 81,299,919.98
  5. Step 5: Solve for x
    x = 81,299,919.98/8,485.72
  6. Step 6: Final answer
    x = 9,580.79

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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.