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Finding the Fourth Proportional to 11,902.25, 16,425.11 and 6,596.96

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Solution

The fourth proportional to 11,902.25, 16,425.11 and 6,596.96 is: 9,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.25 : 16,425.11 = 6,596.96 : x
  2. Step 2: Convert to fraction form
    11,902.25/16,425.11 = 6,596.96/x
  3. Step 3: Cross multiply
    11,902.25x = 16,425.11 × 6,596.96
  4. Step 4: Simplify right side
    11,902.25x = 108,355,728.03
  5. Step 5: Solve for x
    x = 108,355,728.03/11,902.25
  6. Step 6: Final answer
    x = 9,103.80

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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.