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Finding the Fourth Proportional to 5.76, 8.63 and 5.09

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Solution

The fourth proportional to 5.76, 8.63 and 5.09 is: 7.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.76 : 8.63 = 5.09 : x
  2. Step 2: Convert to fraction form
    5.76/8.63 = 5.09/x
  3. Step 3: Cross multiply
    5.76x = 8.63 × 5.09
  4. Step 4: Simplify right side
    5.76x = 43.93
  5. Step 5: Solve for x
    x = 43.93/5.76
  6. Step 6: Final answer
    x = 7.63

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Why These Related Problems?

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