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Finding the Fourth Proportional to 7,996.34, 11,994.50 and 2,449.66

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Solution

The fourth proportional to 7,996.34, 11,994.50 and 2,449.66 is: 3,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.34 : 11,994.50 = 2,449.66 : x
  2. Step 2: Convert to fraction form
    7,996.34/11,994.50 = 2,449.66/x
  3. Step 3: Cross multiply
    7,996.34x = 11,994.50 × 2,449.66
  4. Step 4: Simplify right side
    7,996.34x = 29,382,423.01
  5. Step 5: Solve for x
    x = 29,382,423.01/7,996.34
  6. Step 6: Final answer
    x = 3,674.49

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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.