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Finding the Fourth Proportional to 8,190.57, 11,302.38 and 4,833.18

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Solution

The fourth proportional to 8,190.57, 11,302.38 and 4,833.18 is: 6,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.57 : 11,302.38 = 4,833.18 : x
  2. Step 2: Convert to fraction form
    8,190.57/11,302.38 = 4,833.18/x
  3. Step 3: Cross multiply
    8,190.57x = 11,302.38 × 4,833.18
  4. Step 4: Simplify right side
    8,190.57x = 54,626,436.97
  5. Step 5: Solve for x
    x = 54,626,436.97/8,190.57
  6. Step 6: Final answer
    x = 6,669.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.