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Finding the Fourth Proportional to 10,083.93, 13,917.05 and 6,104.94

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Solution

The fourth proportional to 10,083.93, 13,917.05 and 6,104.94 is: 8,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.93 : 13,917.05 = 6,104.94 : x
  2. Step 2: Convert to fraction form
    10,083.93/13,917.05 = 6,104.94/x
  3. Step 3: Cross multiply
    10,083.93x = 13,917.05 × 6,104.94
  4. Step 4: Simplify right side
    10,083.93x = 84,962,755.23
  5. Step 5: Solve for x
    x = 84,962,755.23/10,083.93
  6. Step 6: Final answer
    x = 8,425.56

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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.