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Finding the Fourth Proportional to 27,856.36, 41,784.54 and 6,796.36

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Solution

The fourth proportional to 27,856.36, 41,784.54 and 6,796.36 is: 10,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.36 : 41,784.54 = 6,796.36 : x
  2. Step 2: Convert to fraction form
    27,856.36/41,784.54 = 6,796.36/x
  3. Step 3: Cross multiply
    27,856.36x = 41,784.54 × 6,796.36
  4. Step 4: Simplify right side
    27,856.36x = 283,982,776.27
  5. Step 5: Solve for x
    x = 283,982,776.27/27,856.36
  6. Step 6: Final answer
    x = 10,194.54

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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.