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Finding the Fourth Proportional to 11,833.80, 17,745.52 and 4,433.07

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Solution

The fourth proportional to 11,833.80, 17,745.52 and 4,433.07 is: 6,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.80 : 17,745.52 = 4,433.07 : x
  2. Step 2: Convert to fraction form
    11,833.80/17,745.52 = 4,433.07/x
  3. Step 3: Cross multiply
    11,833.80x = 17,745.52 × 4,433.07
  4. Step 4: Simplify right side
    11,833.80x = 78,667,132.35
  5. Step 5: Solve for x
    x = 78,667,132.35/11,833.80
  6. Step 6: Final answer
    x = 6,647.66

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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.