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Finding the Fourth Proportional to 11,695.89, 16,135.75 and 7,211.86

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Solution

The fourth proportional to 11,695.89, 16,135.75 and 7,211.86 is: 9,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.89 : 16,135.75 = 7,211.86 : x
  2. Step 2: Convert to fraction form
    11,695.89/16,135.75 = 7,211.86/x
  3. Step 3: Cross multiply
    11,695.89x = 16,135.75 × 7,211.86
  4. Step 4: Simplify right side
    11,695.89x = 116,368,770.00
  5. Step 5: Solve for x
    x = 116,368,770.00/11,695.89
  6. Step 6: Final answer
    x = 9,949.54

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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.