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Finding the Fourth Proportional to 11,843.38, 17,765.13 and 4,917.88

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Solution

The fourth proportional to 11,843.38, 17,765.13 and 4,917.88 is: 7,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.38 : 17,765.13 = 4,917.88 : x
  2. Step 2: Convert to fraction form
    11,843.38/17,765.13 = 4,917.88/x
  3. Step 3: Cross multiply
    11,843.38x = 17,765.13 × 4,917.88
  4. Step 4: Simplify right side
    11,843.38x = 87,366,688.70
  5. Step 5: Solve for x
    x = 87,366,688.70/11,843.38
  6. Step 6: Final answer
    x = 7,376.84

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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.