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Finding the Fourth Proportional to 8,768.62, 13,152.92 and 2,194.80

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Solution

The fourth proportional to 8,768.62, 13,152.92 and 2,194.80 is: 3,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.62 : 13,152.92 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    8,768.62/13,152.92 = 2,194.80/x
  3. Step 3: Cross multiply
    8,768.62x = 13,152.92 × 2,194.80
  4. Step 4: Simplify right side
    8,768.62x = 28,867,968.52
  5. Step 5: Solve for x
    x = 28,867,968.52/8,768.62
  6. Step 6: Final answer
    x = 3,292.19

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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.