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Finding the Fourth Proportional to 8,231.52, 11,359.50 and 4,647.24

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Solution

The fourth proportional to 8,231.52, 11,359.50 and 4,647.24 is: 6,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.52 : 11,359.50 = 4,647.24 : x
  2. Step 2: Convert to fraction form
    8,231.52/11,359.50 = 4,647.24/x
  3. Step 3: Cross multiply
    8,231.52x = 11,359.50 × 4,647.24
  4. Step 4: Simplify right side
    8,231.52x = 52,790,322.78
  5. Step 5: Solve for x
    x = 52,790,322.78/8,231.52
  6. Step 6: Final answer
    x = 6,413.19

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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.