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Finding the Fourth Proportional to 11,630.87, 17,449.97 and 3,845.15

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Solution

The fourth proportional to 11,630.87, 17,449.97 and 3,845.15 is: 5,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.87 : 17,449.97 = 3,845.15 : x
  2. Step 2: Convert to fraction form
    11,630.87/17,449.97 = 3,845.15/x
  3. Step 3: Cross multiply
    11,630.87x = 17,449.97 × 3,845.15
  4. Step 4: Simplify right side
    11,630.87x = 67,097,645.67
  5. Step 5: Solve for x
    x = 67,097,645.67/11,630.87
  6. Step 6: Final answer
    x = 5,768.93

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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.