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Finding the Fourth Proportional to 6,851.87, 10,277.86 and 2,171.79

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Solution

The fourth proportional to 6,851.87, 10,277.86 and 2,171.79 is: 3,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.87 : 10,277.86 = 2,171.79 : x
  2. Step 2: Convert to fraction form
    6,851.87/10,277.86 = 2,171.79/x
  3. Step 3: Cross multiply
    6,851.87x = 10,277.86 × 2,171.79
  4. Step 4: Simplify right side
    6,851.87x = 22,321,342.71
  5. Step 5: Solve for x
    x = 22,321,342.71/6,851.87
  6. Step 6: Final answer
    x = 3,257.70

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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.