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Finding the Fourth Proportional to 7,093.69, 10,642.25 and 2,163.03

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Solution

The fourth proportional to 7,093.69, 10,642.25 and 2,163.03 is: 3,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.69 : 10,642.25 = 2,163.03 : x
  2. Step 2: Convert to fraction form
    7,093.69/10,642.25 = 2,163.03/x
  3. Step 3: Cross multiply
    7,093.69x = 10,642.25 × 2,163.03
  4. Step 4: Simplify right side
    7,093.69x = 23,019,506.02
  5. Step 5: Solve for x
    x = 23,019,506.02/7,093.69
  6. Step 6: Final answer
    x = 3,245.07

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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.