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Finding the Fourth Proportional to 7.85, 10.73 and 7.83

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Solution

The fourth proportional to 7.85, 10.73 and 7.83 is: 10.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.85 : 10.73 = 7.83 : x
  2. Step 2: Convert to fraction form
    7.85/10.73 = 7.83/x
  3. Step 3: Cross multiply
    7.85x = 10.73 × 7.83
  4. Step 4: Simplify right side
    7.85x = 84.04
  5. Step 5: Solve for x
    x = 84.04/7.85
  6. Step 6: Final answer
    x = 10.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.