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Finding the Fourth Proportional to 8,520.23, 11,747.86 and 5,832.74

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Solution

The fourth proportional to 8,520.23, 11,747.86 and 5,832.74 is: 8,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.23 : 11,747.86 = 5,832.74 : x
  2. Step 2: Convert to fraction form
    8,520.23/11,747.86 = 5,832.74/x
  3. Step 3: Cross multiply
    8,520.23x = 11,747.86 × 5,832.74
  4. Step 4: Simplify right side
    8,520.23x = 68,522,212.94
  5. Step 5: Solve for x
    x = 68,522,212.94/8,520.23
  6. Step 6: Final answer
    x = 8,042.30

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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.