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Finding the Fourth Proportional to 7.86, 11.79 and 3.84

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Solution

The fourth proportional to 7.86, 11.79 and 3.84 is: 5.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.86 : 11.79 = 3.84 : x
  2. Step 2: Convert to fraction form
    7.86/11.79 = 3.84/x
  3. Step 3: Cross multiply
    7.86x = 11.79 × 3.84
  4. Step 4: Simplify right side
    7.86x = 45.30
  5. Step 5: Solve for x
    x = 45.30/7.86
  6. Step 6: Final answer
    x = 5.77

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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.