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Finding the Fourth Proportional to 11,028.50, 16,542.75 and 2,820.50

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Solution

The fourth proportional to 11,028.50, 16,542.75 and 2,820.50 is: 4,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.50 : 16,542.75 = 2,820.50 : x
  2. Step 2: Convert to fraction form
    11,028.50/16,542.75 = 2,820.50/x
  3. Step 3: Cross multiply
    11,028.50x = 16,542.75 × 2,820.50
  4. Step 4: Simplify right side
    11,028.50x = 46,658,826.38
  5. Step 5: Solve for x
    x = 46,658,826.38/11,028.50
  6. Step 6: Final answer
    x = 4,230.75

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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.