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Finding the Fourth Proportional to 11,291, 16,936.56 and 3,083

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Solution

The fourth proportional to 11,291, 16,936.56 and 3,083 is: 4,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291 : 16,936.56 = 3,083 : x
  2. Step 2: Convert to fraction form
    11,291/16,936.56 = 3,083/x
  3. Step 3: Cross multiply
    11,291x = 16,936.56 × 3,083
  4. Step 4: Simplify right side
    11,291x = 52,215,414.48
  5. Step 5: Solve for x
    x = 52,215,414.48/11,291
  6. Step 6: Final answer
    x = 4,624.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.