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Finding the Fourth Proportional to 10,775.67, 16,163.70 and 2,984.49

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Solution

The fourth proportional to 10,775.67, 16,163.70 and 2,984.49 is: 4,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.67 : 16,163.70 = 2,984.49 : x
  2. Step 2: Convert to fraction form
    10,775.67/16,163.70 = 2,984.49/x
  3. Step 3: Cross multiply
    10,775.67x = 16,163.70 × 2,984.49
  4. Step 4: Simplify right side
    10,775.67x = 48,240,401.01
  5. Step 5: Solve for x
    x = 48,240,401.01/10,775.67
  6. Step 6: Final answer
    x = 4,476.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.