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Finding the Fourth Proportional to 7,699.81, 10,625.75 and 4,163.05

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Solution

The fourth proportional to 7,699.81, 10,625.75 and 4,163.05 is: 5,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.81 : 10,625.75 = 4,163.05 : x
  2. Step 2: Convert to fraction form
    7,699.81/10,625.75 = 4,163.05/x
  3. Step 3: Cross multiply
    7,699.81x = 10,625.75 × 4,163.05
  4. Step 4: Simplify right side
    7,699.81x = 44,235,528.54
  5. Step 5: Solve for x
    x = 44,235,528.54/7,699.81
  6. Step 6: Final answer
    x = 5,745.02

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