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Finding the Fourth Proportional to 8,578.40, 12,870.05 and 2,735.46

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Solution

The fourth proportional to 8,578.40, 12,870.05 and 2,735.46 is: 4,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.40 : 12,870.05 = 2,735.46 : x
  2. Step 2: Convert to fraction form
    8,578.40/12,870.05 = 2,735.46/x
  3. Step 3: Cross multiply
    8,578.40x = 12,870.05 × 2,735.46
  4. Step 4: Simplify right side
    8,578.40x = 35,205,493.30
  5. Step 5: Solve for x
    x = 35,205,493.30/8,578.40
  6. Step 6: Final answer
    x = 4,103.97

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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.