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Finding the Fourth Proportional to 6,851.39, 10,277.08 and 2,471.92

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Solution

The fourth proportional to 6,851.39, 10,277.08 and 2,471.92 is: 3,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.39 : 10,277.08 = 2,471.92 : x
  2. Step 2: Convert to fraction form
    6,851.39/10,277.08 = 2,471.92/x
  3. Step 3: Cross multiply
    6,851.39x = 10,277.08 × 2,471.92
  4. Step 4: Simplify right side
    6,851.39x = 25,404,087.72
  5. Step 5: Solve for x
    x = 25,404,087.72/6,851.39
  6. Step 6: Final answer
    x = 3,707.88

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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.