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Finding the Fourth Proportional to 8,362.41, 11,531.51 and 5,843.60

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Solution

The fourth proportional to 8,362.41, 11,531.51 and 5,843.60 is: 8,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.41 : 11,531.51 = 5,843.60 : x
  2. Step 2: Convert to fraction form
    8,362.41/11,531.51 = 5,843.60/x
  3. Step 3: Cross multiply
    8,362.41x = 11,531.51 × 5,843.60
  4. Step 4: Simplify right side
    8,362.41x = 67,385,517.23
  5. Step 5: Solve for x
    x = 67,385,517.23/8,362.41
  6. Step 6: Final answer
    x = 8,058.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.