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Finding the Fourth Proportional to 11,749.86, 16,211.52 and 7,560.54

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Solution

The fourth proportional to 11,749.86, 16,211.52 and 7,560.54 is: 10,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.86 : 16,211.52 = 7,560.54 : x
  2. Step 2: Convert to fraction form
    11,749.86/16,211.52 = 7,560.54/x
  3. Step 3: Cross multiply
    11,749.86x = 16,211.52 × 7,560.54
  4. Step 4: Simplify right side
    11,749.86x = 122,567,845.42
  5. Step 5: Solve for x
    x = 122,567,845.42/11,749.86
  6. Step 6: Final answer
    x = 10,431.43

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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.