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Finding the Fourth Proportional to 11,029.73, 16,540.45 and 4,008

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Solution

The fourth proportional to 11,029.73, 16,540.45 and 4,008 is: 6,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.73 : 16,540.45 = 4,008 : x
  2. Step 2: Convert to fraction form
    11,029.73/16,540.45 = 4,008/x
  3. Step 3: Cross multiply
    11,029.73x = 16,540.45 × 4,008
  4. Step 4: Simplify right side
    11,029.73x = 66,294,123.60
  5. Step 5: Solve for x
    x = 66,294,123.60/11,029.73
  6. Step 6: Final answer
    x = 6,010.49

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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.