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Finding the Fourth Proportional to 27,863.33, 41,795.40 and 8,137.40

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Solution

The fourth proportional to 27,863.33, 41,795.40 and 8,137.40 is: 12,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.33 : 41,795.40 = 8,137.40 : x
  2. Step 2: Convert to fraction form
    27,863.33/41,795.40 = 8,137.40/x
  3. Step 3: Cross multiply
    27,863.33x = 41,795.40 × 8,137.40
  4. Step 4: Simplify right side
    27,863.33x = 340,105,887.96
  5. Step 5: Solve for x
    x = 340,105,887.96/27,863.33
  6. Step 6: Final answer
    x = 12,206.22

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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.