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Finding the Fourth Proportional to 11,827.37, 16,321.82 and 6,522.07

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Solution

The fourth proportional to 11,827.37, 16,321.82 and 6,522.07 is: 9,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.37 : 16,321.82 = 6,522.07 : x
  2. Step 2: Convert to fraction form
    11,827.37/16,321.82 = 6,522.07/x
  3. Step 3: Cross multiply
    11,827.37x = 16,321.82 × 6,522.07
  4. Step 4: Simplify right side
    11,827.37x = 106,452,052.57
  5. Step 5: Solve for x
    x = 106,452,052.57/11,827.37
  6. Step 6: Final answer
    x = 9,000.48

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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.