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Finding the Fourth Proportional to 11,138.52, 16,705.99 and 4,121.86

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Solution

The fourth proportional to 11,138.52, 16,705.99 and 4,121.86 is: 6,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.52 : 16,705.99 = 4,121.86 : x
  2. Step 2: Convert to fraction form
    11,138.52/16,705.99 = 4,121.86/x
  3. Step 3: Cross multiply
    11,138.52x = 16,705.99 × 4,121.86
  4. Step 4: Simplify right side
    11,138.52x = 68,859,731.33
  5. Step 5: Solve for x
    x = 68,859,731.33/11,138.52
  6. Step 6: Final answer
    x = 6,182.13

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