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Finding the Fourth Proportional to 5,163.81, 7,745.72 and 1,466.07

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Solution

The fourth proportional to 5,163.81, 7,745.72 and 1,466.07 is: 2,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.81 : 7,745.72 = 1,466.07 : x
  2. Step 2: Convert to fraction form
    5,163.81/7,745.72 = 1,466.07/x
  3. Step 3: Cross multiply
    5,163.81x = 7,745.72 × 1,466.07
  4. Step 4: Simplify right side
    5,163.81x = 11,355,767.72
  5. Step 5: Solve for x
    x = 11,355,767.72/5,163.81
  6. Step 6: Final answer
    x = 2,199.11

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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.