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Finding the Fourth Proportional to 27,719.62, 41,579.46 and 7,728.32

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Solution

The fourth proportional to 27,719.62, 41,579.46 and 7,728.32 is: 11,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.62 : 41,579.46 = 7,728.32 : x
  2. Step 2: Convert to fraction form
    27,719.62/41,579.46 = 7,728.32/x
  3. Step 3: Cross multiply
    27,719.62x = 41,579.46 × 7,728.32
  4. Step 4: Simplify right side
    27,719.62x = 321,339,372.31
  5. Step 5: Solve for x
    x = 321,339,372.31/27,719.62
  6. Step 6: Final answer
    x = 11,592.49

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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.