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Finding the Fourth Proportional to 6,161.67, 8,497.32 and 4,906.86

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Solution

The fourth proportional to 6,161.67, 8,497.32 and 4,906.86 is: 6,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.67 : 8,497.32 = 4,906.86 : x
  2. Step 2: Convert to fraction form
    6,161.67/8,497.32 = 4,906.86/x
  3. Step 3: Cross multiply
    6,161.67x = 8,497.32 × 4,906.86
  4. Step 4: Simplify right side
    6,161.67x = 41,695,159.62
  5. Step 5: Solve for x
    x = 41,695,159.62/6,161.67
  6. Step 6: Final answer
    x = 6,766.86

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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.