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Finding the Fourth Proportional to 8,221.54, 11,336.80 and 5,233.55

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Solution

The fourth proportional to 8,221.54, 11,336.80 and 5,233.55 is: 7,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.54 : 11,336.80 = 5,233.55 : x
  2. Step 2: Convert to fraction form
    8,221.54/11,336.80 = 5,233.55/x
  3. Step 3: Cross multiply
    8,221.54x = 11,336.80 × 5,233.55
  4. Step 4: Simplify right side
    8,221.54x = 59,331,709.64
  5. Step 5: Solve for x
    x = 59,331,709.64/8,221.54
  6. Step 6: Final answer
    x = 7,216.62

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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.