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Finding the Fourth Proportional to 11,874.42, 17,788.95 and 7,195.86

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Solution

The fourth proportional to 11,874.42, 17,788.95 and 7,195.86 is: 10,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.42 : 17,788.95 = 7,195.86 : x
  2. Step 2: Convert to fraction form
    11,874.42/17,788.95 = 7,195.86/x
  3. Step 3: Cross multiply
    11,874.42x = 17,788.95 × 7,195.86
  4. Step 4: Simplify right side
    11,874.42x = 128,006,793.75
  5. Step 5: Solve for x
    x = 128,006,793.75/11,874.42
  6. Step 6: Final answer
    x = 10,780.05

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Why These Related Problems?

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