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Finding the Fourth Proportional to 11,620.70, 17,433.77 and 3,829.50

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Solution

The fourth proportional to 11,620.70, 17,433.77 and 3,829.50 is: 5,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.70 : 17,433.77 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    11,620.70/17,433.77 = 3,829.50/x
  3. Step 3: Cross multiply
    11,620.70x = 17,433.77 × 3,829.50
  4. Step 4: Simplify right side
    11,620.70x = 66,762,603.07
  5. Step 5: Solve for x
    x = 66,762,603.07/11,620.70
  6. Step 6: Final answer
    x = 5,745.15

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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.