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Finding the Fourth Proportional to 8,906.86, 13,363.44 and 3,976.06

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Solution

The fourth proportional to 8,906.86, 13,363.44 and 3,976.06 is: 5,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.86 : 13,363.44 = 3,976.06 : x
  2. Step 2: Convert to fraction form
    8,906.86/13,363.44 = 3,976.06/x
  3. Step 3: Cross multiply
    8,906.86x = 13,363.44 × 3,976.06
  4. Step 4: Simplify right side
    8,906.86x = 53,133,839.25
  5. Step 5: Solve for x
    x = 53,133,839.25/8,906.86
  6. Step 6: Final answer
    x = 5,965.50

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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.