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Finding the Fourth Proportional to 6,965.35, 10,447.92 and 2,805.26

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Solution

The fourth proportional to 6,965.35, 10,447.92 and 2,805.26 is: 4,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.35 : 10,447.92 = 2,805.26 : x
  2. Step 2: Convert to fraction form
    6,965.35/10,447.92 = 2,805.26/x
  3. Step 3: Cross multiply
    6,965.35x = 10,447.92 × 2,805.26
  4. Step 4: Simplify right side
    6,965.35x = 29,309,118.03
  5. Step 5: Solve for x
    x = 29,309,118.03/6,965.35
  6. Step 6: Final answer
    x = 4,207.85

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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.