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Finding the Fourth Proportional to 7,793.77, 11,692.51 and 2,247.02

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Solution

The fourth proportional to 7,793.77, 11,692.51 and 2,247.02 is: 3,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.77 : 11,692.51 = 2,247.02 : x
  2. Step 2: Convert to fraction form
    7,793.77/11,692.51 = 2,247.02/x
  3. Step 3: Cross multiply
    7,793.77x = 11,692.51 × 2,247.02
  4. Step 4: Simplify right side
    7,793.77x = 26,273,327.43
  5. Step 5: Solve for x
    x = 26,273,327.43/7,793.77
  6. Step 6: Final answer
    x = 3,371.07

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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.