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Finding the Fourth Proportional to 7,185.44, 10,774.50 and 3,286.50

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Solution

The fourth proportional to 7,185.44, 10,774.50 and 3,286.50 is: 4,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.44 : 10,774.50 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    7,185.44/10,774.50 = 3,286.50/x
  3. Step 3: Cross multiply
    7,185.44x = 10,774.50 × 3,286.50
  4. Step 4: Simplify right side
    7,185.44x = 35,410,394.25
  5. Step 5: Solve for x
    x = 35,410,394.25/7,185.44
  6. Step 6: Final answer
    x = 4,928.08

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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.