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Finding the Fourth Proportional to 7,793.85, 11,690.82 and 2,599.71

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Solution

The fourth proportional to 7,793.85, 11,690.82 and 2,599.71 is: 3,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.85 : 11,690.82 = 2,599.71 : x
  2. Step 2: Convert to fraction form
    7,793.85/11,690.82 = 2,599.71/x
  3. Step 3: Cross multiply
    7,793.85x = 11,690.82 × 2,599.71
  4. Step 4: Simplify right side
    7,793.85x = 30,392,741.66
  5. Step 5: Solve for x
    x = 30,392,741.66/7,793.85
  6. Step 6: Final answer
    x = 3,899.58

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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.