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Finding the Fourth Proportional to 8,540.89, 12,813.81 and 3,542.34

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Solution

The fourth proportional to 8,540.89, 12,813.81 and 3,542.34 is: 5,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.89 : 12,813.81 = 3,542.34 : x
  2. Step 2: Convert to fraction form
    8,540.89/12,813.81 = 3,542.34/x
  3. Step 3: Cross multiply
    8,540.89x = 12,813.81 × 3,542.34
  4. Step 4: Simplify right side
    8,540.89x = 45,390,871.72
  5. Step 5: Solve for x
    x = 45,390,871.72/8,540.89
  6. Step 6: Final answer
    x = 5,314.54

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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.