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Finding the Fourth Proportional to 7,164.05, 10,744.38 and 3,464.37

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Solution

The fourth proportional to 7,164.05, 10,744.38 and 3,464.37 is: 5,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.05 : 10,744.38 = 3,464.37 : x
  2. Step 2: Convert to fraction form
    7,164.05/10,744.38 = 3,464.37/x
  3. Step 3: Cross multiply
    7,164.05x = 10,744.38 × 3,464.37
  4. Step 4: Simplify right side
    7,164.05x = 37,222,507.74
  5. Step 5: Solve for x
    x = 37,222,507.74/7,164.05
  6. Step 6: Final answer
    x = 5,195.74

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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.