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Finding the Fourth Proportional to 11,779.74, 16,255.99 and 6,743.94

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Solution

The fourth proportional to 11,779.74, 16,255.99 and 6,743.94 is: 9,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.74 : 16,255.99 = 6,743.94 : x
  2. Step 2: Convert to fraction form
    11,779.74/16,255.99 = 6,743.94/x
  3. Step 3: Cross multiply
    11,779.74x = 16,255.99 × 6,743.94
  4. Step 4: Simplify right side
    11,779.74x = 109,629,421.20
  5. Step 5: Solve for x
    x = 109,629,421.20/11,779.74
  6. Step 6: Final answer
    x = 9,306.61

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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.