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Finding the Fourth Proportional to 11,328, 16,999.68 and 4,032

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Solution

The fourth proportional to 11,328, 16,999.68 and 4,032 is: 6,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328 : 16,999.68 = 4,032 : x
  2. Step 2: Convert to fraction form
    11,328/16,999.68 = 4,032/x
  3. Step 3: Cross multiply
    11,328x = 16,999.68 × 4,032
  4. Step 4: Simplify right side
    11,328x = 68,542,709.76
  5. Step 5: Solve for x
    x = 68,542,709.76/11,328
  6. Step 6: Final answer
    x = 6,050.73

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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.