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Finding the Fourth Proportional to 7.86, 10.76 and 7.46

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Solution

The fourth proportional to 7.86, 10.76 and 7.46 is: 10.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.86 : 10.76 = 7.46 : x
  2. Step 2: Convert to fraction form
    7.86/10.76 = 7.46/x
  3. Step 3: Cross multiply
    7.86x = 10.76 × 7.46
  4. Step 4: Simplify right side
    7.86x = 80.27
  5. Step 5: Solve for x
    x = 80.27/7.86
  6. Step 6: Final answer
    x = 10.21

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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.