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Finding the Fourth Proportional to 11,873.16, 17,809.76 and 4,081.97

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Solution

The fourth proportional to 11,873.16, 17,809.76 and 4,081.97 is: 6,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.16 : 17,809.76 = 4,081.97 : x
  2. Step 2: Convert to fraction form
    11,873.16/17,809.76 = 4,081.97/x
  3. Step 3: Cross multiply
    11,873.16x = 17,809.76 × 4,081.97
  4. Step 4: Simplify right side
    11,873.16x = 72,698,930.14
  5. Step 5: Solve for x
    x = 72,698,930.14/11,873.16
  6. Step 6: Final answer
    x = 6,122.96

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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.