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Finding the Fourth Proportional to 10.84, 16.28 and 7.43

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Solution

The fourth proportional to 10.84, 16.28 and 7.43 is: 11.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.84 : 16.28 = 7.43 : x
  2. Step 2: Convert to fraction form
    10.84/16.28 = 7.43/x
  3. Step 3: Cross multiply
    10.84x = 16.28 × 7.43
  4. Step 4: Simplify right side
    10.84x = 120.98
  5. Step 5: Solve for x
    x = 120.98/10.84
  6. Step 6: Final answer
    x = 11.17

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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.