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Finding the Fourth Proportional to 7,876.25, 11,814.78 and 3,195.56

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Solution

The fourth proportional to 7,876.25, 11,814.78 and 3,195.56 is: 4,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.25 : 11,814.78 = 3,195.56 : x
  2. Step 2: Convert to fraction form
    7,876.25/11,814.78 = 3,195.56/x
  3. Step 3: Cross multiply
    7,876.25x = 11,814.78 × 3,195.56
  4. Step 4: Simplify right side
    7,876.25x = 37,754,779.30
  5. Step 5: Solve for x
    x = 37,754,779.30/7,876.25
  6. Step 6: Final answer
    x = 4,793.50

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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.