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Finding the Fourth Proportional to 10,775.66, 16,163.49 and 2,984.47

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Solution

The fourth proportional to 10,775.66, 16,163.49 and 2,984.47 is: 4,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.66 : 16,163.49 = 2,984.47 : x
  2. Step 2: Convert to fraction form
    10,775.66/16,163.49 = 2,984.47/x
  3. Step 3: Cross multiply
    10,775.66x = 16,163.49 × 2,984.47
  4. Step 4: Simplify right side
    10,775.66x = 48,239,415.87
  5. Step 5: Solve for x
    x = 48,239,415.87/10,775.66
  6. Step 6: Final answer
    x = 4,476.70

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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.