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Finding the Fourth Proportional to 11,827, 16,321.37 and 6,522

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Solution

The fourth proportional to 11,827, 16,321.37 and 6,522 is: 9,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 16,321.37 = 6,522 : x
  2. Step 2: Convert to fraction form
    11,827/16,321.37 = 6,522/x
  3. Step 3: Cross multiply
    11,827x = 16,321.37 × 6,522
  4. Step 4: Simplify right side
    11,827x = 106,447,975.14
  5. Step 5: Solve for x
    x = 106,447,975.14/11,827
  6. Step 6: Final answer
    x = 9,000.42

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Why These Related Problems?

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