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Finding the Fourth Proportional to 7,861.62, 11,785.09 and 5,397.60

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Solution

The fourth proportional to 7,861.62, 11,785.09 and 5,397.60 is: 8,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.62 : 11,785.09 = 5,397.60 : x
  2. Step 2: Convert to fraction form
    7,861.62/11,785.09 = 5,397.60/x
  3. Step 3: Cross multiply
    7,861.62x = 11,785.09 × 5,397.60
  4. Step 4: Simplify right side
    7,861.62x = 63,611,201.78
  5. Step 5: Solve for x
    x = 63,611,201.78/7,861.62
  6. Step 6: Final answer
    x = 8,091.36

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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.