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Finding the Fourth Proportional to 7,168.44, 10,748.46 and 2,169.33

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Solution

The fourth proportional to 7,168.44, 10,748.46 and 2,169.33 is: 3,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.44 : 10,748.46 = 2,169.33 : x
  2. Step 2: Convert to fraction form
    7,168.44/10,748.46 = 2,169.33/x
  3. Step 3: Cross multiply
    7,168.44x = 10,748.46 × 2,169.33
  4. Step 4: Simplify right side
    7,168.44x = 23,316,956.73
  5. Step 5: Solve for x
    x = 23,316,956.73/7,168.44
  6. Step 6: Final answer
    x = 3,252.72

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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.