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Finding the Fourth Proportional to 11,879.91, 17,833.65 and 6,953.08

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Solution

The fourth proportional to 11,879.91, 17,833.65 and 6,953.08 is: 10,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.91 : 17,833.65 = 6,953.08 : x
  2. Step 2: Convert to fraction form
    11,879.91/17,833.65 = 6,953.08/x
  3. Step 3: Cross multiply
    11,879.91x = 17,833.65 × 6,953.08
  4. Step 4: Simplify right side
    11,879.91x = 123,998,795.14
  5. Step 5: Solve for x
    x = 123,998,795.14/11,879.91
  6. Step 6: Final answer
    x = 10,437.69

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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.