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Finding the Fourth Proportional to 6,782.82, 10,175.43 and 2,340.14

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Solution

The fourth proportional to 6,782.82, 10,175.43 and 2,340.14 is: 3,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.82 : 10,175.43 = 2,340.14 : x
  2. Step 2: Convert to fraction form
    6,782.82/10,175.43 = 2,340.14/x
  3. Step 3: Cross multiply
    6,782.82x = 10,175.43 × 2,340.14
  4. Step 4: Simplify right side
    6,782.82x = 23,811,939.31
  5. Step 5: Solve for x
    x = 23,811,939.31/6,782.82
  6. Step 6: Final answer
    x = 3,510.62

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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.