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Finding the Fourth Proportional to 8,021.60, 10,794.60 and 8,021.60

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Solution

The fourth proportional to 8,021.60, 10,794.60 and 8,021.60 is: 10,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.60 : 10,794.60 = 8,021.60 : x
  2. Step 2: Convert to fraction form
    8,021.60/10,794.60 = 8,021.60/x
  3. Step 3: Cross multiply
    8,021.60x = 10,794.60 × 8,021.60
  4. Step 4: Simplify right side
    8,021.60x = 86,589,963.36
  5. Step 5: Solve for x
    x = 86,589,963.36/8,021.60
  6. Step 6: Final answer
    x = 10,794.60

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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.