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Finding the Fourth Proportional to 11,885.44, 17,827.78 and 5,649.94

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Solution

The fourth proportional to 11,885.44, 17,827.78 and 5,649.94 is: 8,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.44 : 17,827.78 = 5,649.94 : x
  2. Step 2: Convert to fraction form
    11,885.44/17,827.78 = 5,649.94/x
  3. Step 3: Cross multiply
    11,885.44x = 17,827.78 × 5,649.94
  4. Step 4: Simplify right side
    11,885.44x = 100,725,887.33
  5. Step 5: Solve for x
    x = 100,725,887.33/11,885.44
  6. Step 6: Final answer
    x = 8,474.73

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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.