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Finding the Fourth Proportional to 7,185.56, 10,774.70 and 3,286.62

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Solution

The fourth proportional to 7,185.56, 10,774.70 and 3,286.62 is: 4,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.56 : 10,774.70 = 3,286.62 : x
  2. Step 2: Convert to fraction form
    7,185.56/10,774.70 = 3,286.62/x
  3. Step 3: Cross multiply
    7,185.56x = 10,774.70 × 3,286.62
  4. Step 4: Simplify right side
    7,185.56x = 35,412,344.51
  5. Step 5: Solve for x
    x = 35,412,344.51/7,185.56
  6. Step 6: Final answer
    x = 4,928.27

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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.