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Finding the Fourth Proportional to 7,996.49, 11,994.74 and 3,000

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Solution

The fourth proportional to 7,996.49, 11,994.74 and 3,000 is: 4,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.49 : 11,994.74 = 3,000 : x
  2. Step 2: Convert to fraction form
    7,996.49/11,994.74 = 3,000/x
  3. Step 3: Cross multiply
    7,996.49x = 11,994.74 × 3,000
  4. Step 4: Simplify right side
    7,996.49x = 35,984,205
  5. Step 5: Solve for x
    x = 35,984,205/7,996.49
  6. Step 6: Final answer
    x = 4,500.00

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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.