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Finding the Fourth Proportional to 8,578.42, 12,867.46 and 2,734.94

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Solution

The fourth proportional to 8,578.42, 12,867.46 and 2,734.94 is: 4,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.42 : 12,867.46 = 2,734.94 : x
  2. Step 2: Convert to fraction form
    8,578.42/12,867.46 = 2,734.94/x
  3. Step 3: Cross multiply
    8,578.42x = 12,867.46 × 2,734.94
  4. Step 4: Simplify right side
    8,578.42x = 35,191,731.05
  5. Step 5: Solve for x
    x = 35,191,731.05/8,578.42
  6. Step 6: Final answer
    x = 4,102.36

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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.