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Finding the Fourth Proportional to 10,083.85, 13,913.71 and 6,105.33

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Solution

The fourth proportional to 10,083.85, 13,913.71 and 6,105.33 is: 8,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.85 : 13,913.71 = 6,105.33 : x
  2. Step 2: Convert to fraction form
    10,083.85/13,913.71 = 6,105.33/x
  3. Step 3: Cross multiply
    10,083.85x = 13,913.71 × 6,105.33
  4. Step 4: Simplify right side
    10,083.85x = 84,947,791.07
  5. Step 5: Solve for x
    x = 84,947,791.07/10,083.85
  6. Step 6: Final answer
    x = 8,424.14

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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.