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Finding the Fourth Proportional to 8,200.46, 11,316.67 and 4,474.54

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Solution

The fourth proportional to 8,200.46, 11,316.67 and 4,474.54 is: 6,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.46 : 11,316.67 = 4,474.54 : x
  2. Step 2: Convert to fraction form
    8,200.46/11,316.67 = 4,474.54/x
  3. Step 3: Cross multiply
    8,200.46x = 11,316.67 × 4,474.54
  4. Step 4: Simplify right side
    8,200.46x = 50,636,892.58
  5. Step 5: Solve for x
    x = 50,636,892.58/8,200.46
  6. Step 6: Final answer
    x = 6,174.88

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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.