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Finding the Fourth Proportional to 6,716.73, 10,070.78 and 3,204.84

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Solution

The fourth proportional to 6,716.73, 10,070.78 and 3,204.84 is: 4,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.73 : 10,070.78 = 3,204.84 : x
  2. Step 2: Convert to fraction form
    6,716.73/10,070.78 = 3,204.84/x
  3. Step 3: Cross multiply
    6,716.73x = 10,070.78 × 3,204.84
  4. Step 4: Simplify right side
    6,716.73x = 32,275,222.55
  5. Step 5: Solve for x
    x = 32,275,222.55/6,716.73
  6. Step 6: Final answer
    x = 4,805.20

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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.