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Finding the Fourth Proportional to 7,797.75, 11,692.98 and 2,599.98

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Solution

The fourth proportional to 7,797.75, 11,692.98 and 2,599.98 is: 3,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.75 : 11,692.98 = 2,599.98 : x
  2. Step 2: Convert to fraction form
    7,797.75/11,692.98 = 2,599.98/x
  3. Step 3: Cross multiply
    7,797.75x = 11,692.98 × 2,599.98
  4. Step 4: Simplify right side
    7,797.75x = 30,401,514.14
  5. Step 5: Solve for x
    x = 30,401,514.14/7,797.75
  6. Step 6: Final answer
    x = 3,898.75

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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.