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Finding the Fourth Proportional to 10,164.94, 15,243.09 and 6,268.30

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Solution

The fourth proportional to 10,164.94, 15,243.09 and 6,268.30 is: 9,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.94 : 15,243.09 = 6,268.30 : x
  2. Step 2: Convert to fraction form
    10,164.94/15,243.09 = 6,268.30/x
  3. Step 3: Cross multiply
    10,164.94x = 15,243.09 × 6,268.30
  4. Step 4: Simplify right side
    10,164.94x = 95,548,261.05
  5. Step 5: Solve for x
    x = 95,548,261.05/10,164.94
  6. Step 6: Final answer
    x = 9,399.79

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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.