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Finding the Fourth Proportional to 11,486.70, 17,227.62 and 3,166.20

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Solution

The fourth proportional to 11,486.70, 17,227.62 and 3,166.20 is: 4,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.70 : 17,227.62 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    11,486.70/17,227.62 = 3,166.20/x
  3. Step 3: Cross multiply
    11,486.70x = 17,227.62 × 3,166.20
  4. Step 4: Simplify right side
    11,486.70x = 54,546,090.44
  5. Step 5: Solve for x
    x = 54,546,090.44/11,486.70
  6. Step 6: Final answer
    x = 4,748.63

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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.