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Finding the Fourth Proportional to 27,856.55, 41,784.21 and 6,796.77

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Solution

The fourth proportional to 27,856.55, 41,784.21 and 6,796.77 is: 10,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.55 : 41,784.21 = 6,796.77 : x
  2. Step 2: Convert to fraction form
    27,856.55/41,784.21 = 6,796.77/x
  3. Step 3: Cross multiply
    27,856.55x = 41,784.21 × 6,796.77
  4. Step 4: Simplify right side
    27,856.55x = 283,997,665.00
  5. Step 5: Solve for x
    x = 283,997,665.00/27,856.55
  6. Step 6: Final answer
    x = 10,195.01

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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.