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Finding the Fourth Proportional to 6,857.73, 10,290.34 and 2,908.37

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Solution

The fourth proportional to 6,857.73, 10,290.34 and 2,908.37 is: 4,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.73 : 10,290.34 = 2,908.37 : x
  2. Step 2: Convert to fraction form
    6,857.73/10,290.34 = 2,908.37/x
  3. Step 3: Cross multiply
    6,857.73x = 10,290.34 × 2,908.37
  4. Step 4: Simplify right side
    6,857.73x = 29,928,145.51
  5. Step 5: Solve for x
    x = 29,928,145.51/6,857.73
  6. Step 6: Final answer
    x = 4,364.15

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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.