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Finding the Fourth Proportional to 8,194.86, 11,308.55 and 4,609.71

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Solution

The fourth proportional to 8,194.86, 11,308.55 and 4,609.71 is: 6,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.86 : 11,308.55 = 4,609.71 : x
  2. Step 2: Convert to fraction form
    8,194.86/11,308.55 = 4,609.71/x
  3. Step 3: Cross multiply
    8,194.86x = 11,308.55 × 4,609.71
  4. Step 4: Simplify right side
    8,194.86x = 52,129,112.97
  5. Step 5: Solve for x
    x = 52,129,112.97/8,194.86
  6. Step 6: Final answer
    x = 6,361.20

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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.