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Finding the Fourth Proportional to 11,846.88, 17,770.38 and 4,921.38

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Solution

The fourth proportional to 11,846.88, 17,770.38 and 4,921.38 is: 7,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.88 : 17,770.38 = 4,921.38 : x
  2. Step 2: Convert to fraction form
    11,846.88/17,770.38 = 4,921.38/x
  3. Step 3: Cross multiply
    11,846.88x = 17,770.38 × 4,921.38
  4. Step 4: Simplify right side
    11,846.88x = 87,454,792.72
  5. Step 5: Solve for x
    x = 87,454,792.72/11,846.88
  6. Step 6: Final answer
    x = 7,382.09

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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.