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Finding the Fourth Proportional to 8,192.75, 11,306.39 and 4,608.83

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Solution

The fourth proportional to 8,192.75, 11,306.39 and 4,608.83 is: 6,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.75 : 11,306.39 = 4,608.83 : x
  2. Step 2: Convert to fraction form
    8,192.75/11,306.39 = 4,608.83/x
  3. Step 3: Cross multiply
    8,192.75x = 11,306.39 × 4,608.83
  4. Step 4: Simplify right side
    8,192.75x = 52,109,149.85
  5. Step 5: Solve for x
    x = 52,109,149.85/8,192.75
  6. Step 6: Final answer
    x = 6,360.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.