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Finding the Fourth Proportional to 11,866.53, 17,800.82 and 3,101.44

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Solution

The fourth proportional to 11,866.53, 17,800.82 and 3,101.44 is: 4,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.53 : 17,800.82 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    11,866.53/17,800.82 = 3,101.44/x
  3. Step 3: Cross multiply
    11,866.53x = 17,800.82 × 3,101.44
  4. Step 4: Simplify right side
    11,866.53x = 55,208,175.18
  5. Step 5: Solve for x
    x = 55,208,175.18/11,866.53
  6. Step 6: Final answer
    x = 4,652.43

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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.