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Finding the Fourth Proportional to 7,967.53, 11,940.89 and 3,282.20

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Solution

The fourth proportional to 7,967.53, 11,940.89 and 3,282.20 is: 4,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.53 : 11,940.89 = 3,282.20 : x
  2. Step 2: Convert to fraction form
    7,967.53/11,940.89 = 3,282.20/x
  3. Step 3: Cross multiply
    7,967.53x = 11,940.89 × 3,282.20
  4. Step 4: Simplify right side
    7,967.53x = 39,192,329.45
  5. Step 5: Solve for x
    x = 39,192,329.45/7,967.53
  6. Step 6: Final answer
    x = 4,919.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.