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Finding the Fourth Proportional to 27,865.35, 41,797.87 and 6,805.51

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Solution

The fourth proportional to 27,865.35, 41,797.87 and 6,805.51 is: 10,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.35 : 41,797.87 = 6,805.51 : x
  2. Step 2: Convert to fraction form
    27,865.35/41,797.87 = 6,805.51/x
  3. Step 3: Cross multiply
    27,865.35x = 41,797.87 × 6,805.51
  4. Step 4: Simplify right side
    27,865.35x = 284,455,822.26
  5. Step 5: Solve for x
    x = 284,455,822.26/27,865.35
  6. Step 6: Final answer
    x = 10,208.23

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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.