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Finding the Fourth Proportional to 8,540.33, 12,812.03 and 3,862.54

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Solution

The fourth proportional to 8,540.33, 12,812.03 and 3,862.54 is: 5,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.33 : 12,812.03 = 3,862.54 : x
  2. Step 2: Convert to fraction form
    8,540.33/12,812.03 = 3,862.54/x
  3. Step 3: Cross multiply
    8,540.33x = 12,812.03 × 3,862.54
  4. Step 4: Simplify right side
    8,540.33x = 49,486,978.36
  5. Step 5: Solve for x
    x = 49,486,978.36/8,540.33
  6. Step 6: Final answer
    x = 5,794.50

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Why These Related Problems?

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