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Finding the Fourth Proportional to 11,800.15, 17,692.02 and 5,222.75

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Solution

The fourth proportional to 11,800.15, 17,692.02 and 5,222.75 is: 7,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.15 : 17,692.02 = 5,222.75 : x
  2. Step 2: Convert to fraction form
    11,800.15/17,692.02 = 5,222.75/x
  3. Step 3: Cross multiply
    11,800.15x = 17,692.02 × 5,222.75
  4. Step 4: Simplify right side
    11,800.15x = 92,400,908.99
  5. Step 5: Solve for x
    x = 92,400,908.99/11,800.15
  6. Step 6: Final answer
    x = 7,830.49

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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.