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Finding the Fourth Proportional to 7,163.71, 10,745.52 and 3,897.56

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Solution

The fourth proportional to 7,163.71, 10,745.52 and 3,897.56 is: 5,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.71 : 10,745.52 = 3,897.56 : x
  2. Step 2: Convert to fraction form
    7,163.71/10,745.52 = 3,897.56/x
  3. Step 3: Cross multiply
    7,163.71x = 10,745.52 × 3,897.56
  4. Step 4: Simplify right side
    7,163.71x = 41,881,308.93
  5. Step 5: Solve for x
    x = 41,881,308.93/7,163.71
  6. Step 6: Final answer
    x = 5,846.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.