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Finding the Fourth Proportional to 8,073.54, 12,109.32 and 3,394.26

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Solution

The fourth proportional to 8,073.54, 12,109.32 and 3,394.26 is: 5,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.54 : 12,109.32 = 3,394.26 : x
  2. Step 2: Convert to fraction form
    8,073.54/12,109.32 = 3,394.26/x
  3. Step 3: Cross multiply
    8,073.54x = 12,109.32 × 3,394.26
  4. Step 4: Simplify right side
    8,073.54x = 41,102,180.50
  5. Step 5: Solve for x
    x = 41,102,180.50/8,073.54
  6. Step 6: Final answer
    x = 5,090.97

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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.