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Finding the Fourth Proportional to 6,757.45, 10,133.45 and 2,806.02

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Solution

The fourth proportional to 6,757.45, 10,133.45 and 2,806.02 is: 4,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.45 : 10,133.45 = 2,806.02 : x
  2. Step 2: Convert to fraction form
    6,757.45/10,133.45 = 2,806.02/x
  3. Step 3: Cross multiply
    6,757.45x = 10,133.45 × 2,806.02
  4. Step 4: Simplify right side
    6,757.45x = 28,434,647.14
  5. Step 5: Solve for x
    x = 28,434,647.14/6,757.45
  6. Step 6: Final answer
    x = 4,207.90

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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.