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Finding the Fourth Proportional to 27,885.92, 41,828.62 and 6,826.05

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Solution

The fourth proportional to 27,885.92, 41,828.62 and 6,826.05 is: 10,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.92 : 41,828.62 = 6,826.05 : x
  2. Step 2: Convert to fraction form
    27,885.92/41,828.62 = 6,826.05/x
  3. Step 3: Cross multiply
    27,885.92x = 41,828.62 × 6,826.05
  4. Step 4: Simplify right side
    27,885.92x = 285,524,251.55
  5. Step 5: Solve for x
    x = 285,524,251.55/27,885.92
  6. Step 6: Final answer
    x = 10,239.01

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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.