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Finding the Fourth Proportional to 6,827.60, 10,234.20 and 3,899.60

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Solution

The fourth proportional to 6,827.60, 10,234.20 and 3,899.60 is: 5,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.60 : 10,234.20 = 3,899.60 : x
  2. Step 2: Convert to fraction form
    6,827.60/10,234.20 = 3,899.60/x
  3. Step 3: Cross multiply
    6,827.60x = 10,234.20 × 3,899.60
  4. Step 4: Simplify right side
    6,827.60x = 39,909,286.32
  5. Step 5: Solve for x
    x = 39,909,286.32/6,827.60
  6. Step 6: Final answer
    x = 5,845.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.