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Finding the Fourth Proportional to 7,796.38, 11,690.78 and 2,600.50

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Solution

The fourth proportional to 7,796.38, 11,690.78 and 2,600.50 is: 3,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.38 : 11,690.78 = 2,600.50 : x
  2. Step 2: Convert to fraction form
    7,796.38/11,690.78 = 2,600.50/x
  3. Step 3: Cross multiply
    7,796.38x = 11,690.78 × 2,600.50
  4. Step 4: Simplify right side
    7,796.38x = 30,401,873.39
  5. Step 5: Solve for x
    x = 30,401,873.39/7,796.38
  6. Step 6: Final answer
    x = 3,899.49

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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.