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Finding the Fourth Proportional to 11,227.50, 16,841.18 and 2,907.50

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Solution

The fourth proportional to 11,227.50, 16,841.18 and 2,907.50 is: 4,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.50 : 16,841.18 = 2,907.50 : x
  2. Step 2: Convert to fraction form
    11,227.50/16,841.18 = 2,907.50/x
  3. Step 3: Cross multiply
    11,227.50x = 16,841.18 × 2,907.50
  4. Step 4: Simplify right side
    11,227.50x = 48,965,653.91
  5. Step 5: Solve for x
    x = 48,965,653.91/11,227.50
  6. Step 6: Final answer
    x = 4,361.23

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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.