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Finding the Fourth Proportional to 11,896.45, 16,416.90 and 6,860.27

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Solution

The fourth proportional to 11,896.45, 16,416.90 and 6,860.27 is: 9,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.45 : 16,416.90 = 6,860.27 : x
  2. Step 2: Convert to fraction form
    11,896.45/16,416.90 = 6,860.27/x
  3. Step 3: Cross multiply
    11,896.45x = 16,416.90 × 6,860.27
  4. Step 4: Simplify right side
    11,896.45x = 112,624,407.61
  5. Step 5: Solve for x
    x = 112,624,407.61/11,896.45
  6. Step 6: Final answer
    x = 9,467.06

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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.