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Finding the Fourth Proportional to 11,896.27, 16,416.98 and 6,518.71

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Solution

The fourth proportional to 11,896.27, 16,416.98 and 6,518.71 is: 8,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.27 : 16,416.98 = 6,518.71 : x
  2. Step 2: Convert to fraction form
    11,896.27/16,416.98 = 6,518.71/x
  3. Step 3: Cross multiply
    11,896.27x = 16,416.98 × 6,518.71
  4. Step 4: Simplify right side
    11,896.27x = 107,017,544.07
  5. Step 5: Solve for x
    x = 107,017,544.07/11,896.27
  6. Step 6: Final answer
    x = 8,995.89

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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.