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Finding the Fourth Proportional to 7,763.16, 11,647.02 and 2,832.60

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Solution

The fourth proportional to 7,763.16, 11,647.02 and 2,832.60 is: 4,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.16 : 11,647.02 = 2,832.60 : x
  2. Step 2: Convert to fraction form
    7,763.16/11,647.02 = 2,832.60/x
  3. Step 3: Cross multiply
    7,763.16x = 11,647.02 × 2,832.60
  4. Step 4: Simplify right side
    7,763.16x = 32,991,348.85
  5. Step 5: Solve for x
    x = 32,991,348.85/7,763.16
  6. Step 6: Final answer
    x = 4,249.73

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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.