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Finding the Fourth Proportional to 8,358.23, 12,542.06 and 3,431.33

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Solution

The fourth proportional to 8,358.23, 12,542.06 and 3,431.33 is: 5,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.23 : 12,542.06 = 3,431.33 : x
  2. Step 2: Convert to fraction form
    8,358.23/12,542.06 = 3,431.33/x
  3. Step 3: Cross multiply
    8,358.23x = 12,542.06 × 3,431.33
  4. Step 4: Simplify right side
    8,358.23x = 43,035,866.87
  5. Step 5: Solve for x
    x = 43,035,866.87/8,358.23
  6. Step 6: Final answer
    x = 5,148.92

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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.