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Finding the Fourth Proportional to 7,244, 10,867.44 and 3,084

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Solution

The fourth proportional to 7,244, 10,867.44 and 3,084 is: 4,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244 : 10,867.44 = 3,084 : x
  2. Step 2: Convert to fraction form
    7,244/10,867.44 = 3,084/x
  3. Step 3: Cross multiply
    7,244x = 10,867.44 × 3,084
  4. Step 4: Simplify right side
    7,244x = 33,515,184.96
  5. Step 5: Solve for x
    x = 33,515,184.96/7,244
  6. Step 6: Final answer
    x = 4,626.61

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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.