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Finding the Fourth Proportional to 8,083.80, 12,042.27 and 7,839.05

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Solution

The fourth proportional to 8,083.80, 12,042.27 and 7,839.05 is: 11,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.80 : 12,042.27 = 7,839.05 : x
  2. Step 2: Convert to fraction form
    8,083.80/12,042.27 = 7,839.05/x
  3. Step 3: Cross multiply
    8,083.80x = 12,042.27 × 7,839.05
  4. Step 4: Simplify right side
    8,083.80x = 94,399,896.43
  5. Step 5: Solve for x
    x = 94,399,896.43/8,083.80
  6. Step 6: Final answer
    x = 11,677.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.