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Finding the Fourth Proportional to 11,896.81, 16,416.27 and 6,590.30

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Solution

The fourth proportional to 11,896.81, 16,416.27 and 6,590.30 is: 9,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.81 : 16,416.27 = 6,590.30 : x
  2. Step 2: Convert to fraction form
    11,896.81/16,416.27 = 6,590.30/x
  3. Step 3: Cross multiply
    11,896.81x = 16,416.27 × 6,590.30
  4. Step 4: Simplify right side
    11,896.81x = 108,188,062.10
  5. Step 5: Solve for x
    x = 108,188,062.10/11,896.81
  6. Step 6: Final answer
    x = 9,093.87

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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.