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Finding the Fourth Proportional to 11,737.85, 16,195.34 and 6,958.91

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Solution

The fourth proportional to 11,737.85, 16,195.34 and 6,958.91 is: 9,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.85 : 16,195.34 = 6,958.91 : x
  2. Step 2: Convert to fraction form
    11,737.85/16,195.34 = 6,958.91/x
  3. Step 3: Cross multiply
    11,737.85x = 16,195.34 × 6,958.91
  4. Step 4: Simplify right side
    11,737.85x = 112,701,971.37
  5. Step 5: Solve for x
    x = 112,701,971.37/11,737.85
  6. Step 6: Final answer
    x = 9,601.59

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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.