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Finding the Fourth Proportional to 6,813.60, 10,214.40 and 4,033.44

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Solution

The fourth proportional to 6,813.60, 10,214.40 and 4,033.44 is: 6,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 10,214.40 = 4,033.44 : x
  2. Step 2: Convert to fraction form
    6,813.60/10,214.40 = 4,033.44/x
  3. Step 3: Cross multiply
    6,813.60x = 10,214.40 × 4,033.44
  4. Step 4: Simplify right side
    6,813.60x = 41,199,169.54
  5. Step 5: Solve for x
    x = 41,199,169.54/6,813.60
  6. Step 6: Final answer
    x = 6,046.61

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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.