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Finding the Fourth Proportional to 11,856.20, 17,768.10 and 7,896.20

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Solution

The fourth proportional to 11,856.20, 17,768.10 and 7,896.20 is: 11,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.20 : 17,768.10 = 7,896.20 : x
  2. Step 2: Convert to fraction form
    11,856.20/17,768.10 = 7,896.20/x
  3. Step 3: Cross multiply
    11,856.20x = 17,768.10 × 7,896.20
  4. Step 4: Simplify right side
    11,856.20x = 140,300,471.22
  5. Step 5: Solve for x
    x = 140,300,471.22/11,856.20
  6. Step 6: Final answer
    x = 11,833.51

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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.