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Finding the Fourth Proportional to 7,213.92, 10,820.88 and 3,322.80

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Solution

The fourth proportional to 7,213.92, 10,820.88 and 3,322.80 is: 4,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.92 : 10,820.88 = 3,322.80 : x
  2. Step 2: Convert to fraction form
    7,213.92/10,820.88 = 3,322.80/x
  3. Step 3: Cross multiply
    7,213.92x = 10,820.88 × 3,322.80
  4. Step 4: Simplify right side
    7,213.92x = 35,955,620.06
  5. Step 5: Solve for x
    x = 35,955,620.06/7,213.92
  6. Step 6: Final answer
    x = 4,984.20

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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.