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Finding the Fourth Proportional to 11,827.44, 16,321.50 and 6,522.12

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Solution

The fourth proportional to 11,827.44, 16,321.50 and 6,522.12 is: 9,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.44 : 16,321.50 = 6,522.12 : x
  2. Step 2: Convert to fraction form
    11,827.44/16,321.50 = 6,522.12/x
  3. Step 3: Cross multiply
    11,827.44x = 16,321.50 × 6,522.12
  4. Step 4: Simplify right side
    11,827.44x = 106,450,781.58
  5. Step 5: Solve for x
    x = 106,450,781.58/11,827.44
  6. Step 6: Final answer
    x = 9,000.32

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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.