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Finding the Fourth Proportional to 8,211.88, 11,327.70 and 5,221.72

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Solution

The fourth proportional to 8,211.88, 11,327.70 and 5,221.72 is: 7,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.88 : 11,327.70 = 5,221.72 : x
  2. Step 2: Convert to fraction form
    8,211.88/11,327.70 = 5,221.72/x
  3. Step 3: Cross multiply
    8,211.88x = 11,327.70 × 5,221.72
  4. Step 4: Simplify right side
    8,211.88x = 59,150,077.64
  5. Step 5: Solve for x
    x = 59,150,077.64/8,211.88
  6. Step 6: Final answer
    x = 7,202.99

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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.