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Finding the Fourth Proportional to 6,842.43, 10,259.52 and 2,677.47

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Solution

The fourth proportional to 6,842.43, 10,259.52 and 2,677.47 is: 4,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.43 : 10,259.52 = 2,677.47 : x
  2. Step 2: Convert to fraction form
    6,842.43/10,259.52 = 2,677.47/x
  3. Step 3: Cross multiply
    6,842.43x = 10,259.52 × 2,677.47
  4. Step 4: Simplify right side
    6,842.43x = 27,469,557.01
  5. Step 5: Solve for x
    x = 27,469,557.01/6,842.43
  6. Step 6: Final answer
    x = 4,014.59

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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.