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Finding the Fourth Proportional to 11,877.42, 17,793.45 and 7,198.86

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Solution

The fourth proportional to 11,877.42, 17,793.45 and 7,198.86 is: 10,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.42 : 17,793.45 = 7,198.86 : x
  2. Step 2: Convert to fraction form
    11,877.42/17,793.45 = 7,198.86/x
  3. Step 3: Cross multiply
    11,877.42x = 17,793.45 × 7,198.86
  4. Step 4: Simplify right side
    11,877.42x = 128,092,555.47
  5. Step 5: Solve for x
    x = 128,092,555.47/11,877.42
  6. Step 6: Final answer
    x = 10,784.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.