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Finding the Fourth Proportional to 8,092.90, 11,155.08 and 6,321.43

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Solution

The fourth proportional to 8,092.90, 11,155.08 and 6,321.43 is: 8,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.90 : 11,155.08 = 6,321.43 : x
  2. Step 2: Convert to fraction form
    8,092.90/11,155.08 = 6,321.43/x
  3. Step 3: Cross multiply
    8,092.90x = 11,155.08 × 6,321.43
  4. Step 4: Simplify right side
    8,092.90x = 70,516,057.36
  5. Step 5: Solve for x
    x = 70,516,057.36/8,092.90
  6. Step 6: Final answer
    x = 8,713.32

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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.