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Finding the Fourth Proportional to 6,722.94, 10,076.48 and 3,213.60

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Solution

The fourth proportional to 6,722.94, 10,076.48 and 3,213.60 is: 4,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.94 : 10,076.48 = 3,213.60 : x
  2. Step 2: Convert to fraction form
    6,722.94/10,076.48 = 3,213.60/x
  3. Step 3: Cross multiply
    6,722.94x = 10,076.48 × 3,213.60
  4. Step 4: Simplify right side
    6,722.94x = 32,381,776.13
  5. Step 5: Solve for x
    x = 32,381,776.13/6,722.94
  6. Step 6: Final answer
    x = 4,816.61

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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.