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Finding the Fourth Proportional to 11,205.74, 15,463.79 and 6,169.86

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Solution

The fourth proportional to 11,205.74, 15,463.79 and 6,169.86 is: 8,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.74 : 15,463.79 = 6,169.86 : x
  2. Step 2: Convert to fraction form
    11,205.74/15,463.79 = 6,169.86/x
  3. Step 3: Cross multiply
    11,205.74x = 15,463.79 × 6,169.86
  4. Step 4: Simplify right side
    11,205.74x = 95,409,357.48
  5. Step 5: Solve for x
    x = 95,409,357.48/11,205.74
  6. Step 6: Final answer
    x = 8,514.33

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