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Finding the Fourth Proportional to 8,542.98, 12,825.27 and 5,959.62

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Solution

The fourth proportional to 8,542.98, 12,825.27 and 5,959.62 is: 8,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.98 : 12,825.27 = 5,959.62 : x
  2. Step 2: Convert to fraction form
    8,542.98/12,825.27 = 5,959.62/x
  3. Step 3: Cross multiply
    8,542.98x = 12,825.27 × 5,959.62
  4. Step 4: Simplify right side
    8,542.98x = 76,433,735.60
  5. Step 5: Solve for x
    x = 76,433,735.60/8,542.98
  6. Step 6: Final answer
    x = 8,946.96

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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.