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Finding the Fourth Proportional to 11,827.57, 16,322.54 and 6,522.73

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Solution

The fourth proportional to 11,827.57, 16,322.54 and 6,522.73 is: 9,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.57 : 16,322.54 = 6,522.73 : x
  2. Step 2: Convert to fraction form
    11,827.57/16,322.54 = 6,522.73/x
  3. Step 3: Cross multiply
    11,827.57x = 16,322.54 × 6,522.73
  4. Step 4: Simplify right side
    11,827.57x = 106,467,466.26
  5. Step 5: Solve for x
    x = 106,467,466.26/11,827.57
  6. Step 6: Final answer
    x = 9,001.64

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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.