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Finding the Fourth Proportional to 7.98, 11.00 and 5.82

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Solution

The fourth proportional to 7.98, 11.00 and 5.82 is: 8.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.98 : 11.00 = 5.82 : x
  2. Step 2: Convert to fraction form
    7.98/11.00 = 5.82/x
  3. Step 3: Cross multiply
    7.98x = 11.00 × 5.82
  4. Step 4: Simplify right side
    7.98x = 63.99
  5. Step 5: Solve for x
    x = 63.99/7.98
  6. Step 6: Final answer
    x = 8.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.