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Finding the Fourth Proportional to 8,219.64, 11,342.86 and 4,493.56

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Solution

The fourth proportional to 8,219.64, 11,342.86 and 4,493.56 is: 6,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.64 : 11,342.86 = 4,493.56 : x
  2. Step 2: Convert to fraction form
    8,219.64/11,342.86 = 4,493.56/x
  3. Step 3: Cross multiply
    8,219.64x = 11,342.86 × 4,493.56
  4. Step 4: Simplify right side
    8,219.64x = 50,969,821.98
  5. Step 5: Solve for x
    x = 50,969,821.98/8,219.64
  6. Step 6: Final answer
    x = 6,200.98

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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.