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Finding the Fourth Proportional to 11,872.96, 17,794.02 and 4,844.74

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Solution

The fourth proportional to 11,872.96, 17,794.02 and 4,844.74 is: 7,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.96 : 17,794.02 = 4,844.74 : x
  2. Step 2: Convert to fraction form
    11,872.96/17,794.02 = 4,844.74/x
  3. Step 3: Cross multiply
    11,872.96x = 17,794.02 × 4,844.74
  4. Step 4: Simplify right side
    11,872.96x = 86,207,400.45
  5. Step 5: Solve for x
    x = 86,207,400.45/11,872.96
  6. Step 6: Final answer
    x = 7,260.82

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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.