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Finding the Fourth Proportional to 7,194.87, 10,789.22 and 2,513.48

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Solution

The fourth proportional to 7,194.87, 10,789.22 and 2,513.48 is: 3,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.87 : 10,789.22 = 2,513.48 : x
  2. Step 2: Convert to fraction form
    7,194.87/10,789.22 = 2,513.48/x
  3. Step 3: Cross multiply
    7,194.87x = 10,789.22 × 2,513.48
  4. Step 4: Simplify right side
    7,194.87x = 27,118,441.02
  5. Step 5: Solve for x
    x = 27,118,441.02/7,194.87
  6. Step 6: Final answer
    x = 3,769.14

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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.