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Finding the Fourth Proportional to 8,540.47, 12,801.93 and 3,274.05

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Solution

The fourth proportional to 8,540.47, 12,801.93 and 3,274.05 is: 4,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.47 : 12,801.93 = 3,274.05 : x
  2. Step 2: Convert to fraction form
    8,540.47/12,801.93 = 3,274.05/x
  3. Step 3: Cross multiply
    8,540.47x = 12,801.93 × 3,274.05
  4. Step 4: Simplify right side
    8,540.47x = 41,914,158.92
  5. Step 5: Solve for x
    x = 41,914,158.92/8,540.47
  6. Step 6: Final answer
    x = 4,907.71

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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.