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Finding the Fourth Proportional to 7,890.85, 11,826.22 and 4,194.85

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Solution

The fourth proportional to 7,890.85, 11,826.22 and 4,194.85 is: 6,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.85 : 11,826.22 = 4,194.85 : x
  2. Step 2: Convert to fraction form
    7,890.85/11,826.22 = 4,194.85/x
  3. Step 3: Cross multiply
    7,890.85x = 11,826.22 × 4,194.85
  4. Step 4: Simplify right side
    7,890.85x = 49,609,218.97
  5. Step 5: Solve for x
    x = 49,609,218.97/7,890.85
  6. Step 6: Final answer
    x = 6,286.93

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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.