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Finding the Fourth Proportional to 7,163.88, 10,743.12 and 3,464.88

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Solution

The fourth proportional to 7,163.88, 10,743.12 and 3,464.88 is: 5,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.88 : 10,743.12 = 3,464.88 : x
  2. Step 2: Convert to fraction form
    7,163.88/10,743.12 = 3,464.88/x
  3. Step 3: Cross multiply
    7,163.88x = 10,743.12 × 3,464.88
  4. Step 4: Simplify right side
    7,163.88x = 37,223,621.63
  5. Step 5: Solve for x
    x = 37,223,621.63/7,163.88
  6. Step 6: Final answer
    x = 5,196.01

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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.