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Finding the Fourth Proportional to 8,201.25, 11,317.73 and 5,059.26

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Solution

The fourth proportional to 8,201.25, 11,317.73 and 5,059.26 is: 6,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.25 : 11,317.73 = 5,059.26 : x
  2. Step 2: Convert to fraction form
    8,201.25/11,317.73 = 5,059.26/x
  3. Step 3: Cross multiply
    8,201.25x = 11,317.73 × 5,059.26
  4. Step 4: Simplify right side
    8,201.25x = 57,259,313.38
  5. Step 5: Solve for x
    x = 57,259,313.38/8,201.25
  6. Step 6: Final answer
    x = 6,981.78

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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.