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Finding the Fourth Proportional to 11,879.98, 16,393.66 and 6,574.48

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Solution

The fourth proportional to 11,879.98, 16,393.66 and 6,574.48 is: 9,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.98 : 16,393.66 = 6,574.48 : x
  2. Step 2: Convert to fraction form
    11,879.98/16,393.66 = 6,574.48/x
  3. Step 3: Cross multiply
    11,879.98x = 16,393.66 × 6,574.48
  4. Step 4: Simplify right side
    11,879.98x = 107,779,732.38
  5. Step 5: Solve for x
    x = 107,779,732.38/11,879.98
  6. Step 6: Final answer
    x = 9,072.39

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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.