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Finding the Fourth Proportional to 10,780.67, 16,170.86 and 3,760.67

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Solution

The fourth proportional to 10,780.67, 16,170.86 and 3,760.67 is: 5,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.67 : 16,170.86 = 3,760.67 : x
  2. Step 2: Convert to fraction form
    10,780.67/16,170.86 = 3,760.67/x
  3. Step 3: Cross multiply
    10,780.67x = 16,170.86 × 3,760.67
  4. Step 4: Simplify right side
    10,780.67x = 60,813,196.62
  5. Step 5: Solve for x
    x = 60,813,196.62/10,780.67
  6. Step 6: Final answer
    x = 5,640.95

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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.