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Finding the Fourth Proportional to 11,778.92, 17,668.53 and 3,013.61

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Solution

The fourth proportional to 11,778.92, 17,668.53 and 3,013.61 is: 4,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.92 : 17,668.53 = 3,013.61 : x
  2. Step 2: Convert to fraction form
    11,778.92/17,668.53 = 3,013.61/x
  3. Step 3: Cross multiply
    11,778.92x = 17,668.53 × 3,013.61
  4. Step 4: Simplify right side
    11,778.92x = 53,245,970.35
  5. Step 5: Solve for x
    x = 53,245,970.35/11,778.92
  6. Step 6: Final answer
    x = 4,520.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.