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Finding the Fourth Proportional to 4,125.63, 6,187.89 and 1,163.87

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Solution

The fourth proportional to 4,125.63, 6,187.89 and 1,163.87 is: 1,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.63 : 6,187.89 = 1,163.87 : x
  2. Step 2: Convert to fraction form
    4,125.63/6,187.89 = 1,163.87/x
  3. Step 3: Cross multiply
    4,125.63x = 6,187.89 × 1,163.87
  4. Step 4: Simplify right side
    4,125.63x = 7,201,896.16
  5. Step 5: Solve for x
    x = 7,201,896.16/4,125.63
  6. Step 6: Final answer
    x = 1,745.65

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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.