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Finding the Fourth Proportional to 6,536.80, 9,805.18 and 2,641.16

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Solution

The fourth proportional to 6,536.80, 9,805.18 and 2,641.16 is: 3,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.80 : 9,805.18 = 2,641.16 : x
  2. Step 2: Convert to fraction form
    6,536.80/9,805.18 = 2,641.16/x
  3. Step 3: Cross multiply
    6,536.80x = 9,805.18 × 2,641.16
  4. Step 4: Simplify right side
    6,536.80x = 25,897,049.21
  5. Step 5: Solve for x
    x = 25,897,049.21/6,536.80
  6. Step 6: Final answer
    x = 3,961.73

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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.