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Finding the Fourth Proportional to 11,846.25, 17,772.41 and 4,055.06

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Solution

The fourth proportional to 11,846.25, 17,772.41 and 4,055.06 is: 6,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 17,772.41 = 4,055.06 : x
  2. Step 2: Convert to fraction form
    11,846.25/17,772.41 = 4,055.06/x
  3. Step 3: Cross multiply
    11,846.25x = 17,772.41 × 4,055.06
  4. Step 4: Simplify right side
    11,846.25x = 72,068,243.46
  5. Step 5: Solve for x
    x = 72,068,243.46/11,846.25
  6. Step 6: Final answer
    x = 6,083.63

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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.