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Finding the Fourth Proportional to 7,979.16, 11,963.94 and 3,049.16

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Solution

The fourth proportional to 7,979.16, 11,963.94 and 3,049.16 is: 4,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.16 : 11,963.94 = 3,049.16 : x
  2. Step 2: Convert to fraction form
    7,979.16/11,963.94 = 3,049.16/x
  3. Step 3: Cross multiply
    7,979.16x = 11,963.94 × 3,049.16
  4. Step 4: Simplify right side
    7,979.16x = 36,479,967.29
  5. Step 5: Solve for x
    x = 36,479,967.29/7,979.16
  6. Step 6: Final answer
    x = 4,571.91

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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.