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Finding the Fourth Proportional to 6,213.60, 8,570.48 and 5,188.73

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Solution

The fourth proportional to 6,213.60, 8,570.48 and 5,188.73 is: 7,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.60 : 8,570.48 = 5,188.73 : x
  2. Step 2: Convert to fraction form
    6,213.60/8,570.48 = 5,188.73/x
  3. Step 3: Cross multiply
    6,213.60x = 8,570.48 × 5,188.73
  4. Step 4: Simplify right side
    6,213.60x = 44,469,837.89
  5. Step 5: Solve for x
    x = 44,469,837.89/6,213.60
  6. Step 6: Final answer
    x = 7,156.86

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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.