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Finding the Fourth Proportional to 7,843.86, 11,764.57 and 2,295.90

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Solution

The fourth proportional to 7,843.86, 11,764.57 and 2,295.90 is: 3,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.86 : 11,764.57 = 2,295.90 : x
  2. Step 2: Convert to fraction form
    7,843.86/11,764.57 = 2,295.90/x
  3. Step 3: Cross multiply
    7,843.86x = 11,764.57 × 2,295.90
  4. Step 4: Simplify right side
    7,843.86x = 27,010,205.96
  5. Step 5: Solve for x
    x = 27,010,205.96/7,843.86
  6. Step 6: Final answer
    x = 3,443.49

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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.