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Finding the Fourth Proportional to 7,163.86, 9,887.13 and 4,020.25

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Solution

The fourth proportional to 7,163.86, 9,887.13 and 4,020.25 is: 5,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.86 : 9,887.13 = 4,020.25 : x
  2. Step 2: Convert to fraction form
    7,163.86/9,887.13 = 4,020.25/x
  3. Step 3: Cross multiply
    7,163.86x = 9,887.13 × 4,020.25
  4. Step 4: Simplify right side
    7,163.86x = 39,748,734.38
  5. Step 5: Solve for x
    x = 39,748,734.38/7,163.86
  6. Step 6: Final answer
    x = 5,548.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.