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Finding the Fourth Proportional to 8,578.90, 12,870.78 and 2,735.96

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Solution

The fourth proportional to 8,578.90, 12,870.78 and 2,735.96 is: 4,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.90 : 12,870.78 = 2,735.96 : x
  2. Step 2: Convert to fraction form
    8,578.90/12,870.78 = 2,735.96/x
  3. Step 3: Cross multiply
    8,578.90x = 12,870.78 × 2,735.96
  4. Step 4: Simplify right side
    8,578.90x = 35,213,939.25
  5. Step 5: Solve for x
    x = 35,213,939.25/8,578.90
  6. Step 6: Final answer
    x = 4,104.71

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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.