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Finding the Fourth Proportional to 11,743.70, 16,204.56 and 7,266.44

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Solution

The fourth proportional to 11,743.70, 16,204.56 and 7,266.44 is: 10,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.70 : 16,204.56 = 7,266.44 : x
  2. Step 2: Convert to fraction form
    11,743.70/16,204.56 = 7,266.44/x
  3. Step 3: Cross multiply
    11,743.70x = 16,204.56 × 7,266.44
  4. Step 4: Simplify right side
    11,743.70x = 117,749,462.97
  5. Step 5: Solve for x
    x = 117,749,462.97/11,743.70
  6. Step 6: Final answer
    x = 10,026.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.