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Finding the Fourth Proportional to 11,922.37, 16,452.11 and 7,445.86

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Solution

The fourth proportional to 11,922.37, 16,452.11 and 7,445.86 is: 10,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.37 : 16,452.11 = 7,445.86 : x
  2. Step 2: Convert to fraction form
    11,922.37/16,452.11 = 7,445.86/x
  3. Step 3: Cross multiply
    11,922.37x = 16,452.11 × 7,445.86
  4. Step 4: Simplify right side
    11,922.37x = 122,499,988.27
  5. Step 5: Solve for x
    x = 122,499,988.27/11,922.37
  6. Step 6: Final answer
    x = 10,274.80

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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.