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Finding the Fourth Proportional to 6,832.14, 10,253.07 and 5,273.70

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Solution

The fourth proportional to 6,832.14, 10,253.07 and 5,273.70 is: 7,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.14 : 10,253.07 = 5,273.70 : x
  2. Step 2: Convert to fraction form
    6,832.14/10,253.07 = 5,273.70/x
  3. Step 3: Cross multiply
    6,832.14x = 10,253.07 × 5,273.70
  4. Step 4: Simplify right side
    6,832.14x = 54,071,615.26
  5. Step 5: Solve for x
    x = 54,071,615.26/6,832.14
  6. Step 6: Final answer
    x = 7,914.30

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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.