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Finding the Fourth Proportional to 11,841.75, 17,762.76 and 3,076.14

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Solution

The fourth proportional to 11,841.75, 17,762.76 and 3,076.14 is: 4,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.75 : 17,762.76 = 3,076.14 : x
  2. Step 2: Convert to fraction form
    11,841.75/17,762.76 = 3,076.14/x
  3. Step 3: Cross multiply
    11,841.75x = 17,762.76 × 3,076.14
  4. Step 4: Simplify right side
    11,841.75x = 54,640,736.55
  5. Step 5: Solve for x
    x = 54,640,736.55/11,841.75
  6. Step 6: Final answer
    x = 4,614.25

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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.