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Finding the Fourth Proportional to 27,850.18, 41,777.73 and 7,859.85

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Solution

The fourth proportional to 27,850.18, 41,777.73 and 7,859.85 is: 11,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.18 : 41,777.73 = 7,859.85 : x
  2. Step 2: Convert to fraction form
    27,850.18/41,777.73 = 7,859.85/x
  3. Step 3: Cross multiply
    27,850.18x = 41,777.73 × 7,859.85
  4. Step 4: Simplify right side
    27,850.18x = 328,366,442.95
  5. Step 5: Solve for x
    x = 328,366,442.95/27,850.18
  6. Step 6: Final answer
    x = 11,790.46

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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.