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Finding the Fourth Proportional to 11,377.89, 17,067.69 and 3,586.50

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Solution

The fourth proportional to 11,377.89, 17,067.69 and 3,586.50 is: 5,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.89 : 17,067.69 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    11,377.89/17,067.69 = 3,586.50/x
  3. Step 3: Cross multiply
    11,377.89x = 17,067.69 × 3,586.50
  4. Step 4: Simplify right side
    11,377.89x = 61,213,270.19
  5. Step 5: Solve for x
    x = 61,213,270.19/11,377.89
  6. Step 6: Final answer
    x = 5,380.02

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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.