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Finding the Fourth Proportional to 6,793.86, 10,187.12 and 2,111.84

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Solution

The fourth proportional to 6,793.86, 10,187.12 and 2,111.84 is: 3,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.86 : 10,187.12 = 2,111.84 : x
  2. Step 2: Convert to fraction form
    6,793.86/10,187.12 = 2,111.84/x
  3. Step 3: Cross multiply
    6,793.86x = 10,187.12 × 2,111.84
  4. Step 4: Simplify right side
    6,793.86x = 21,513,567.50
  5. Step 5: Solve for x
    x = 21,513,567.50/6,793.86
  6. Step 6: Final answer
    x = 3,166.62

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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.