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Finding the Fourth Proportional to 8.40, 11.60 and 7.94

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Solution

The fourth proportional to 8.40, 11.60 and 7.94 is: 10.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.40 : 11.60 = 7.94 : x
  2. Step 2: Convert to fraction form
    8.40/11.60 = 7.94/x
  3. Step 3: Cross multiply
    8.40x = 11.60 × 7.94
  4. Step 4: Simplify right side
    8.40x = 92.10
  5. Step 5: Solve for x
    x = 92.10/8.40
  6. Step 6: Final answer
    x = 10.96

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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.