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Finding the Fourth Proportional to 11,878.22, 17,819.50 and 4,085.12

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Solution

The fourth proportional to 11,878.22, 17,819.50 and 4,085.12 is: 6,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.22 : 17,819.50 = 4,085.12 : x
  2. Step 2: Convert to fraction form
    11,878.22/17,819.50 = 4,085.12/x
  3. Step 3: Cross multiply
    11,878.22x = 17,819.50 × 4,085.12
  4. Step 4: Simplify right side
    11,878.22x = 72,794,795.84
  5. Step 5: Solve for x
    x = 72,794,795.84/11,878.22
  6. Step 6: Final answer
    x = 6,128.43

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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.