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Finding the Fourth Proportional to 7,168.94, 10,749.20 and 2,169.84

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Solution

The fourth proportional to 7,168.94, 10,749.20 and 2,169.84 is: 3,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.94 : 10,749.20 = 2,169.84 : x
  2. Step 2: Convert to fraction form
    7,168.94/10,749.20 = 2,169.84/x
  3. Step 3: Cross multiply
    7,168.94x = 10,749.20 × 2,169.84
  4. Step 4: Simplify right side
    7,168.94x = 23,324,044.13
  5. Step 5: Solve for x
    x = 23,324,044.13/7,168.94
  6. Step 6: Final answer
    x = 3,253.49

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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.