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Finding the Fourth Proportional to 7,163.91, 10,743.29 and 2,482.66

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Solution

The fourth proportional to 7,163.91, 10,743.29 and 2,482.66 is: 3,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.91 : 10,743.29 = 2,482.66 : x
  2. Step 2: Convert to fraction form
    7,163.91/10,743.29 = 2,482.66/x
  3. Step 3: Cross multiply
    7,163.91x = 10,743.29 × 2,482.66
  4. Step 4: Simplify right side
    7,163.91x = 26,671,936.35
  5. Step 5: Solve for x
    x = 26,671,936.35/7,163.91
  6. Step 6: Final answer
    x = 3,723.10

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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.