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Finding the Fourth Proportional to 6,716.22, 10,074.46 and 3,206.64

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Solution

The fourth proportional to 6,716.22, 10,074.46 and 3,206.64 is: 4,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.22 : 10,074.46 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    6,716.22/10,074.46 = 3,206.64/x
  3. Step 3: Cross multiply
    6,716.22x = 10,074.46 × 3,206.64
  4. Step 4: Simplify right side
    6,716.22x = 32,305,166.41
  5. Step 5: Solve for x
    x = 32,305,166.41/6,716.22
  6. Step 6: Final answer
    x = 4,810.02

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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.