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Finding the Fourth Proportional to 7,997.85, 11,996.84 and 3,066.32

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Solution

The fourth proportional to 7,997.85, 11,996.84 and 3,066.32 is: 4,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.85 : 11,996.84 = 3,066.32 : x
  2. Step 2: Convert to fraction form
    7,997.85/11,996.84 = 3,066.32/x
  3. Step 3: Cross multiply
    7,997.85x = 11,996.84 × 3,066.32
  4. Step 4: Simplify right side
    7,997.85x = 36,786,075.11
  5. Step 5: Solve for x
    x = 36,786,075.11/7,997.85
  6. Step 6: Final answer
    x = 4,599.50

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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.