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Finding the Fourth Proportional to 8,539.80, 12,801.33 and 4,096.22

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Solution

The fourth proportional to 8,539.80, 12,801.33 and 4,096.22 is: 6,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.80 : 12,801.33 = 4,096.22 : x
  2. Step 2: Convert to fraction form
    8,539.80/12,801.33 = 4,096.22/x
  3. Step 3: Cross multiply
    8,539.80x = 12,801.33 × 4,096.22
  4. Step 4: Simplify right side
    8,539.80x = 52,436,999.97
  5. Step 5: Solve for x
    x = 52,436,999.97/8,539.80
  6. Step 6: Final answer
    x = 6,140.31

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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.