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Finding the Fourth Proportional to 8,211.75, 11,332.50 and 4,485.99

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Solution

The fourth proportional to 8,211.75, 11,332.50 and 4,485.99 is: 6,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.75 : 11,332.50 = 4,485.99 : x
  2. Step 2: Convert to fraction form
    8,211.75/11,332.50 = 4,485.99/x
  3. Step 3: Cross multiply
    8,211.75x = 11,332.50 × 4,485.99
  4. Step 4: Simplify right side
    8,211.75x = 50,837,481.68
  5. Step 5: Solve for x
    x = 50,837,481.68/8,211.75
  6. Step 6: Final answer
    x = 6,190.82

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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.