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Finding the Fourth Proportional to 27,826.77, 41,739.78 and 6,766.74

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Solution

The fourth proportional to 27,826.77, 41,739.78 and 6,766.74 is: 10,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.77 : 41,739.78 = 6,766.74 : x
  2. Step 2: Convert to fraction form
    27,826.77/41,739.78 = 6,766.74/x
  3. Step 3: Cross multiply
    27,826.77x = 41,739.78 × 6,766.74
  4. Step 4: Simplify right side
    27,826.77x = 282,442,238.92
  5. Step 5: Solve for x
    x = 282,442,238.92/27,826.77
  6. Step 6: Final answer
    x = 10,150.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.