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Finding the Fourth Proportional to 10,775.59, 16,163.35 and 2,984.38

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Solution

The fourth proportional to 10,775.59, 16,163.35 and 2,984.38 is: 4,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.59 : 16,163.35 = 2,984.38 : x
  2. Step 2: Convert to fraction form
    10,775.59/16,163.35 = 2,984.38/x
  3. Step 3: Cross multiply
    10,775.59x = 16,163.35 × 2,984.38
  4. Step 4: Simplify right side
    10,775.59x = 48,237,578.47
  5. Step 5: Solve for x
    x = 48,237,578.47/10,775.59
  6. Step 6: Final answer
    x = 4,476.56

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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.