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Finding the Fourth Proportional to 8,906.29, 13,360.32 and 3,364.29

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Solution

The fourth proportional to 8,906.29, 13,360.32 and 3,364.29 is: 5,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.29 : 13,360.32 = 3,364.29 : x
  2. Step 2: Convert to fraction form
    8,906.29/13,360.32 = 3,364.29/x
  3. Step 3: Cross multiply
    8,906.29x = 13,360.32 × 3,364.29
  4. Step 4: Simplify right side
    8,906.29x = 44,947,990.97
  5. Step 5: Solve for x
    x = 44,947,990.97/8,906.29
  6. Step 6: Final answer
    x = 5,046.77

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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.