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Finding the Fourth Proportional to 7,857.12, 11,791.08 and 5,082.60

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Solution

The fourth proportional to 7,857.12, 11,791.08 and 5,082.60 is: 7,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.12 : 11,791.08 = 5,082.60 : x
  2. Step 2: Convert to fraction form
    7,857.12/11,791.08 = 5,082.60/x
  3. Step 3: Cross multiply
    7,857.12x = 11,791.08 × 5,082.60
  4. Step 4: Simplify right side
    7,857.12x = 59,929,343.21
  5. Step 5: Solve for x
    x = 59,929,343.21/7,857.12
  6. Step 6: Final answer
    x = 7,627.39

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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.