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Finding the Fourth Proportional to 6,782.87, 10,167.26 and 2,836.28

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Solution

The fourth proportional to 6,782.87, 10,167.26 and 2,836.28 is: 4,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.87 : 10,167.26 = 2,836.28 : x
  2. Step 2: Convert to fraction form
    6,782.87/10,167.26 = 2,836.28/x
  3. Step 3: Cross multiply
    6,782.87x = 10,167.26 × 2,836.28
  4. Step 4: Simplify right side
    6,782.87x = 28,837,207.43
  5. Step 5: Solve for x
    x = 28,837,207.43/6,782.87
  6. Step 6: Final answer
    x = 4,251.47

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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.