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Finding the Fourth Proportional to 11,891.71, 16,408.05 and 7,175.08

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Solution

The fourth proportional to 11,891.71, 16,408.05 and 7,175.08 is: 9,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.71 : 16,408.05 = 7,175.08 : x
  2. Step 2: Convert to fraction form
    11,891.71/16,408.05 = 7,175.08/x
  3. Step 3: Cross multiply
    11,891.71x = 16,408.05 × 7,175.08
  4. Step 4: Simplify right side
    11,891.71x = 117,728,989.35
  5. Step 5: Solve for x
    x = 117,728,989.35/11,891.71
  6. Step 6: Final answer
    x = 9,900.09

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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.