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Finding the Fourth Proportional to 7,643.94, 11,467.71 and 2,378.70

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Solution

The fourth proportional to 7,643.94, 11,467.71 and 2,378.70 is: 3,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.94 : 11,467.71 = 2,378.70 : x
  2. Step 2: Convert to fraction form
    7,643.94/11,467.71 = 2,378.70/x
  3. Step 3: Cross multiply
    7,643.94x = 11,467.71 × 2,378.70
  4. Step 4: Simplify right side
    7,643.94x = 27,278,241.78
  5. Step 5: Solve for x
    x = 27,278,241.78/7,643.94
  6. Step 6: Final answer
    x = 3,568.61

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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.