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Finding the Fourth Proportional to 6,842.17, 10,268.25 and 5,286.07

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Solution

The fourth proportional to 6,842.17, 10,268.25 and 5,286.07 is: 7,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.17 : 10,268.25 = 5,286.07 : x
  2. Step 2: Convert to fraction form
    6,842.17/10,268.25 = 5,286.07/x
  3. Step 3: Cross multiply
    6,842.17x = 10,268.25 × 5,286.07
  4. Step 4: Simplify right side
    6,842.17x = 54,278,688.28
  5. Step 5: Solve for x
    x = 54,278,688.28/6,842.17
  6. Step 6: Final answer
    x = 7,932.96

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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.