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Finding the Fourth Proportional to 8,204.86, 11,321.67 and 4,619.37

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Solution

The fourth proportional to 8,204.86, 11,321.67 and 4,619.37 is: 6,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.86 : 11,321.67 = 4,619.37 : x
  2. Step 2: Convert to fraction form
    8,204.86/11,321.67 = 4,619.37/x
  3. Step 3: Cross multiply
    8,204.86x = 11,321.67 × 4,619.37
  4. Step 4: Simplify right side
    8,204.86x = 52,298,982.75
  5. Step 5: Solve for x
    x = 52,298,982.75/8,204.86
  6. Step 6: Final answer
    x = 6,374.15

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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.