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Finding the Fourth Proportional to 11,292.16, 16,939.89 and 5,443.96

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Solution

The fourth proportional to 11,292.16, 16,939.89 and 5,443.96 is: 8,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.16 : 16,939.89 = 5,443.96 : x
  2. Step 2: Convert to fraction form
    11,292.16/16,939.89 = 5,443.96/x
  3. Step 3: Cross multiply
    11,292.16x = 16,939.89 × 5,443.96
  4. Step 4: Simplify right side
    11,292.16x = 92,220,083.56
  5. Step 5: Solve for x
    x = 92,220,083.56/11,292.16
  6. Step 6: Final answer
    x = 8,166.74

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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.