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Finding the Fourth Proportional to 27,672.62, 41,504.79 and 7,680.01

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Solution

The fourth proportional to 27,672.62, 41,504.79 and 7,680.01 is: 11,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.62 : 41,504.79 = 7,680.01 : x
  2. Step 2: Convert to fraction form
    27,672.62/41,504.79 = 7,680.01/x
  3. Step 3: Cross multiply
    27,672.62x = 41,504.79 × 7,680.01
  4. Step 4: Simplify right side
    27,672.62x = 318,757,009.50
  5. Step 5: Solve for x
    x = 318,757,009.50/27,672.62
  6. Step 6: Final answer
    x = 11,518.86

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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.