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Finding the Fourth Proportional to 7,388.75, 11,084.99 and 2,194.63

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Solution

The fourth proportional to 7,388.75, 11,084.99 and 2,194.63 is: 3,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.75 : 11,084.99 = 2,194.63 : x
  2. Step 2: Convert to fraction form
    7,388.75/11,084.99 = 2,194.63/x
  3. Step 3: Cross multiply
    7,388.75x = 11,084.99 × 2,194.63
  4. Step 4: Simplify right side
    7,388.75x = 24,327,412.92
  5. Step 5: Solve for x
    x = 24,327,412.92/7,388.75
  6. Step 6: Final answer
    x = 3,292.49

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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.