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Finding the Fourth Proportional to 11,112.70, 16,634.19 and 6,166.42

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Solution

The fourth proportional to 11,112.70, 16,634.19 and 6,166.42 is: 9,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,112.70 : 16,634.19 = 6,166.42 : x
  2. Step 2: Convert to fraction form
    11,112.70/16,634.19 = 6,166.42/x
  3. Step 3: Cross multiply
    11,112.70x = 16,634.19 × 6,166.42
  4. Step 4: Simplify right side
    11,112.70x = 102,573,401.90
  5. Step 5: Solve for x
    x = 102,573,401.90/11,112.70
  6. Step 6: Final answer
    x = 9,230.29

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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.