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Finding the Fourth Proportional to 7.85, 11.77 and 6.07

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Solution

The fourth proportional to 7.85, 11.77 and 6.07 is: 9.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.85 : 11.77 = 6.07 : x
  2. Step 2: Convert to fraction form
    7.85/11.77 = 6.07/x
  3. Step 3: Cross multiply
    7.85x = 11.77 × 6.07
  4. Step 4: Simplify right side
    7.85x = 71.35
  5. Step 5: Solve for x
    x = 71.35/7.85
  6. Step 6: Final answer
    x = 9.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.