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Finding the Fourth Proportional to 7,968.96, 10,997.37 and 4,612.80

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Solution

The fourth proportional to 7,968.96, 10,997.37 and 4,612.80 is: 6,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.96 : 10,997.37 = 4,612.80 : x
  2. Step 2: Convert to fraction form
    7,968.96/10,997.37 = 4,612.80/x
  3. Step 3: Cross multiply
    7,968.96x = 10,997.37 × 4,612.80
  4. Step 4: Simplify right side
    7,968.96x = 50,728,668.34
  5. Step 5: Solve for x
    x = 50,728,668.34/7,968.96
  6. Step 6: Final answer
    x = 6,365.78

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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.