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Finding the Fourth Proportional to 6,782.40, 10,171.43 and 2,164.32

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Solution

The fourth proportional to 6,782.40, 10,171.43 and 2,164.32 is: 3,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 10,171.43 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    6,782.40/10,171.43 = 2,164.32/x
  3. Step 3: Cross multiply
    6,782.40x = 10,171.43 × 2,164.32
  4. Step 4: Simplify right side
    6,782.40x = 22,014,218.56
  5. Step 5: Solve for x
    x = 22,014,218.56/6,782.40
  6. Step 6: Final answer
    x = 3,245.79

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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.