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Finding the Fourth Proportional to 7,975.92, 11,963.92 and 3,362.16

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Solution

The fourth proportional to 7,975.92, 11,963.92 and 3,362.16 is: 5,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.92 : 11,963.92 = 3,362.16 : x
  2. Step 2: Convert to fraction form
    7,975.92/11,963.92 = 3,362.16/x
  3. Step 3: Cross multiply
    7,975.92x = 11,963.92 × 3,362.16
  4. Step 4: Simplify right side
    7,975.92x = 40,224,613.27
  5. Step 5: Solve for x
    x = 40,224,613.27/7,975.92
  6. Step 6: Final answer
    x = 5,043.26

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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.