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Finding the Fourth Proportional to 8,202.56, 11,319.32 and 5,014.80

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Solution

The fourth proportional to 8,202.56, 11,319.32 and 5,014.80 is: 6,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.56 : 11,319.32 = 5,014.80 : x
  2. Step 2: Convert to fraction form
    8,202.56/11,319.32 = 5,014.80/x
  3. Step 3: Cross multiply
    8,202.56x = 11,319.32 × 5,014.80
  4. Step 4: Simplify right side
    8,202.56x = 56,764,125.94
  5. Step 5: Solve for x
    x = 56,764,125.94/8,202.56
  6. Step 6: Final answer
    x = 6,920.29

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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.