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Finding the Fourth Proportional to 7,976.03, 11,963.07 and 2,133.09

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Solution

The fourth proportional to 7,976.03, 11,963.07 and 2,133.09 is: 3,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.03 : 11,963.07 = 2,133.09 : x
  2. Step 2: Convert to fraction form
    7,976.03/11,963.07 = 2,133.09/x
  3. Step 3: Cross multiply
    7,976.03x = 11,963.07 × 2,133.09
  4. Step 4: Simplify right side
    7,976.03x = 25,518,304.99
  5. Step 5: Solve for x
    x = 25,518,304.99/7,976.03
  6. Step 6: Final answer
    x = 3,199.38

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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.