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Finding the Fourth Proportional to 27,853.97, 41,784.87 and 8,133.98

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Solution

The fourth proportional to 27,853.97, 41,784.87 and 8,133.98 is: 12,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.97 : 41,784.87 = 8,133.98 : x
  2. Step 2: Convert to fraction form
    27,853.97/41,784.87 = 8,133.98/x
  3. Step 3: Cross multiply
    27,853.97x = 41,784.87 × 8,133.98
  4. Step 4: Simplify right side
    27,853.97x = 339,877,296.88
  5. Step 5: Solve for x
    x = 339,877,296.88/27,853.97
  6. Step 6: Final answer
    x = 12,202.11

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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.