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Finding the Fourth Proportional to 6,911.60, 10,364.82 and 2,230.44

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Solution

The fourth proportional to 6,911.60, 10,364.82 and 2,230.44 is: 3,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.60 : 10,364.82 = 2,230.44 : x
  2. Step 2: Convert to fraction form
    6,911.60/10,364.82 = 2,230.44/x
  3. Step 3: Cross multiply
    6,911.60x = 10,364.82 × 2,230.44
  4. Step 4: Simplify right side
    6,911.60x = 23,118,109.12
  5. Step 5: Solve for x
    x = 23,118,109.12/6,911.60
  6. Step 6: Final answer
    x = 3,344.83

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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.