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Finding the Fourth Proportional to 11,800, 16,284 and 6,832

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Solution

The fourth proportional to 11,800, 16,284 and 6,832 is: 9,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800 : 16,284 = 6,832 : x
  2. Step 2: Convert to fraction form
    11,800/16,284 = 6,832/x
  3. Step 3: Cross multiply
    11,800x = 16,284 × 6,832
  4. Step 4: Simplify right side
    11,800x = 111,252,288
  5. Step 5: Solve for x
    x = 111,252,288/11,800
  6. Step 6: Final answer
    x = 9,428.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.