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Finding the Fourth Proportional to 8,137.57, 12,205.28 and 2,294.65

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Solution

The fourth proportional to 8,137.57, 12,205.28 and 2,294.65 is: 3,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.57 : 12,205.28 = 2,294.65 : x
  2. Step 2: Convert to fraction form
    8,137.57/12,205.28 = 2,294.65/x
  3. Step 3: Cross multiply
    8,137.57x = 12,205.28 × 2,294.65
  4. Step 4: Simplify right side
    8,137.57x = 28,006,834.28
  5. Step 5: Solve for x
    x = 28,006,834.28/8,137.57
  6. Step 6: Final answer
    x = 3,441.67

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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.