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Finding the Fourth Proportional to 8,091.20, 10,911.60 and 8,091.20

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Solution

The fourth proportional to 8,091.20, 10,911.60 and 8,091.20 is: 10,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.20 : 10,911.60 = 8,091.20 : x
  2. Step 2: Convert to fraction form
    8,091.20/10,911.60 = 8,091.20/x
  3. Step 3: Cross multiply
    8,091.20x = 10,911.60 × 8,091.20
  4. Step 4: Simplify right side
    8,091.20x = 88,287,937.92
  5. Step 5: Solve for x
    x = 88,287,937.92/8,091.20
  6. Step 6: Final answer
    x = 10,911.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.