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Finding the Fourth Proportional to 11,910.72, 16,447.86 and 7,669.14

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Solution

The fourth proportional to 11,910.72, 16,447.86 and 7,669.14 is: 10,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.72 : 16,447.86 = 7,669.14 : x
  2. Step 2: Convert to fraction form
    11,910.72/16,447.86 = 7,669.14/x
  3. Step 3: Cross multiply
    11,910.72x = 16,447.86 × 7,669.14
  4. Step 4: Simplify right side
    11,910.72x = 126,140,941.04
  5. Step 5: Solve for x
    x = 126,140,941.04/11,910.72
  6. Step 6: Final answer
    x = 10,590.54

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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.