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Finding the Fourth Proportional to 11,851.95, 17,778.94 and 3,086.86

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Solution

The fourth proportional to 11,851.95, 17,778.94 and 3,086.86 is: 4,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.95 : 17,778.94 = 3,086.86 : x
  2. Step 2: Convert to fraction form
    11,851.95/17,778.94 = 3,086.86/x
  3. Step 3: Cross multiply
    11,851.95x = 17,778.94 × 3,086.86
  4. Step 4: Simplify right side
    11,851.95x = 54,881,097.26
  5. Step 5: Solve for x
    x = 54,881,097.26/11,851.95
  6. Step 6: Final answer
    x = 4,630.56

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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.