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Finding the Fourth Proportional to 7,793.21, 11,689.82 and 2,246.57

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Solution

The fourth proportional to 7,793.21, 11,689.82 and 2,246.57 is: 3,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.21 : 11,689.82 = 2,246.57 : x
  2. Step 2: Convert to fraction form
    7,793.21/11,689.82 = 2,246.57/x
  3. Step 3: Cross multiply
    7,793.21x = 11,689.82 × 2,246.57
  4. Step 4: Simplify right side
    7,793.21x = 26,261,981.50
  5. Step 5: Solve for x
    x = 26,261,981.50/7,793.21
  6. Step 6: Final answer
    x = 3,369.85

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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.