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Finding the Fourth Proportional to 7,879.24, 10,873.38 and 4,342.42

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Solution

The fourth proportional to 7,879.24, 10,873.38 and 4,342.42 is: 5,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.24 : 10,873.38 = 4,342.42 : x
  2. Step 2: Convert to fraction form
    7,879.24/10,873.38 = 4,342.42/x
  3. Step 3: Cross multiply
    7,879.24x = 10,873.38 × 4,342.42
  4. Step 4: Simplify right side
    7,879.24x = 47,216,782.78
  5. Step 5: Solve for x
    x = 47,216,782.78/7,879.24
  6. Step 6: Final answer
    x = 5,992.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.