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Finding the Fourth Proportional to 11,770.20, 17,649.63 and 6,841.26

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Solution

The fourth proportional to 11,770.20, 17,649.63 and 6,841.26 is: 10,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.20 : 17,649.63 = 6,841.26 : x
  2. Step 2: Convert to fraction form
    11,770.20/17,649.63 = 6,841.26/x
  3. Step 3: Cross multiply
    11,770.20x = 17,649.63 × 6,841.26
  4. Step 4: Simplify right side
    11,770.20x = 120,745,707.73
  5. Step 5: Solve for x
    x = 120,745,707.73/11,770.20
  6. Step 6: Final answer
    x = 10,258.59

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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.