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Finding the Fourth Proportional to 6,796.17, 10,182.73 and 3,287.83

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Solution

The fourth proportional to 6,796.17, 10,182.73 and 3,287.83 is: 4,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.17 : 10,182.73 = 3,287.83 : x
  2. Step 2: Convert to fraction form
    6,796.17/10,182.73 = 3,287.83/x
  3. Step 3: Cross multiply
    6,796.17x = 10,182.73 × 3,287.83
  4. Step 4: Simplify right side
    6,796.17x = 33,479,085.18
  5. Step 5: Solve for x
    x = 33,479,085.18/6,796.17
  6. Step 6: Final answer
    x = 4,926.17

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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.