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Finding the Fourth Proportional to 7,168.84, 10,745.70 and 3,275.80

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Solution

The fourth proportional to 7,168.84, 10,745.70 and 3,275.80 is: 4,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.84 : 10,745.70 = 3,275.80 : x
  2. Step 2: Convert to fraction form
    7,168.84/10,745.70 = 3,275.80/x
  3. Step 3: Cross multiply
    7,168.84x = 10,745.70 × 3,275.80
  4. Step 4: Simplify right side
    7,168.84x = 35,200,764.06
  5. Step 5: Solve for x
    x = 35,200,764.06/7,168.84
  6. Step 6: Final answer
    x = 4,910.25

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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.