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Finding the Fourth Proportional to 11,757.69, 16,225.92 and 6,722.73

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Solution

The fourth proportional to 11,757.69, 16,225.92 and 6,722.73 is: 9,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.69 : 16,225.92 = 6,722.73 : x
  2. Step 2: Convert to fraction form
    11,757.69/16,225.92 = 6,722.73/x
  3. Step 3: Cross multiply
    11,757.69x = 16,225.92 × 6,722.73
  4. Step 4: Simplify right side
    11,757.69x = 109,082,479.16
  5. Step 5: Solve for x
    x = 109,082,479.16/11,757.69
  6. Step 6: Final answer
    x = 9,277.54

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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.