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Finding the Fourth Proportional to 11,853.66, 17,768.01 and 3,954.06

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Solution

The fourth proportional to 11,853.66, 17,768.01 and 3,954.06 is: 5,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.66 : 17,768.01 = 3,954.06 : x
  2. Step 2: Convert to fraction form
    11,853.66/17,768.01 = 3,954.06/x
  3. Step 3: Cross multiply
    11,853.66x = 17,768.01 × 3,954.06
  4. Step 4: Simplify right side
    11,853.66x = 70,255,777.62
  5. Step 5: Solve for x
    x = 70,255,777.62/11,853.66
  6. Step 6: Final answer
    x = 5,926.93

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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.