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Finding the Fourth Proportional to 7,793.70, 11,691.14 and 2,599.57

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Solution

The fourth proportional to 7,793.70, 11,691.14 and 2,599.57 is: 3,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.70 : 11,691.14 = 2,599.57 : x
  2. Step 2: Convert to fraction form
    7,793.70/11,691.14 = 2,599.57/x
  3. Step 3: Cross multiply
    7,793.70x = 11,691.14 × 2,599.57
  4. Step 4: Simplify right side
    7,793.70x = 30,391,936.81
  5. Step 5: Solve for x
    x = 30,391,936.81/7,793.70
  6. Step 6: Final answer
    x = 3,899.55

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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.