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Finding the Fourth Proportional to 8,745.92, 12,081.60 and 6,092

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Solution

The fourth proportional to 8,745.92, 12,081.60 and 6,092 is: 8,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.92 : 12,081.60 = 6,092 : x
  2. Step 2: Convert to fraction form
    8,745.92/12,081.60 = 6,092/x
  3. Step 3: Cross multiply
    8,745.92x = 12,081.60 × 6,092
  4. Step 4: Simplify right side
    8,745.92x = 73,601,107.20
  5. Step 5: Solve for x
    x = 73,601,107.20/8,745.92
  6. Step 6: Final answer
    x = 8,415.48

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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.