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Finding the Fourth Proportional to 11,827.75, 16,321.94 and 6,522.56

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Solution

The fourth proportional to 11,827.75, 16,321.94 and 6,522.56 is: 9,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.75 : 16,321.94 = 6,522.56 : x
  2. Step 2: Convert to fraction form
    11,827.75/16,321.94 = 6,522.56/x
  3. Step 3: Cross multiply
    11,827.75x = 16,321.94 × 6,522.56
  4. Step 4: Simplify right side
    11,827.75x = 106,460,832.97
  5. Step 5: Solve for x
    x = 106,460,832.97/11,827.75
  6. Step 6: Final answer
    x = 9,000.94

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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.