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Finding the Fourth Proportional to 8,243.34, 12,358.17 and 3,858.54

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Solution

The fourth proportional to 8,243.34, 12,358.17 and 3,858.54 is: 5,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.34 : 12,358.17 = 3,858.54 : x
  2. Step 2: Convert to fraction form
    8,243.34/12,358.17 = 3,858.54/x
  3. Step 3: Cross multiply
    8,243.34x = 12,358.17 × 3,858.54
  4. Step 4: Simplify right side
    8,243.34x = 47,684,493.27
  5. Step 5: Solve for x
    x = 47,684,493.27/8,243.34
  6. Step 6: Final answer
    x = 5,784.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.