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Finding the Fourth Proportional to 7,227.98, 10,838.28 and 3,329

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Solution

The fourth proportional to 7,227.98, 10,838.28 and 3,329 is: 4,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.98 : 10,838.28 = 3,329 : x
  2. Step 2: Convert to fraction form
    7,227.98/10,838.28 = 3,329/x
  3. Step 3: Cross multiply
    7,227.98x = 10,838.28 × 3,329
  4. Step 4: Simplify right side
    7,227.98x = 36,080,634.12
  5. Step 5: Solve for x
    x = 36,080,634.12/7,227.98
  6. Step 6: Final answer
    x = 4,991.80

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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.