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Finding the Fourth Proportional to 8.01, 11.88 and 7.83

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Solution

The fourth proportional to 8.01, 11.88 and 7.83 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.01 : 11.88 = 7.83 : x
  2. Step 2: Convert to fraction form
    8.01/11.88 = 7.83/x
  3. Step 3: Cross multiply
    8.01x = 11.88 × 7.83
  4. Step 4: Simplify right side
    8.01x = 93.02
  5. Step 5: Solve for x
    x = 93.02/8.01
  6. Step 6: Final answer
    x = 11.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.