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Finding the Fourth Proportional to 10,141.25, 13,992.89 and 6,363.41

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Solution

The fourth proportional to 10,141.25, 13,992.89 and 6,363.41 is: 8,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.25 : 13,992.89 = 6,363.41 : x
  2. Step 2: Convert to fraction form
    10,141.25/13,992.89 = 6,363.41/x
  3. Step 3: Cross multiply
    10,141.25x = 13,992.89 × 6,363.41
  4. Step 4: Simplify right side
    10,141.25x = 89,042,394.37
  5. Step 5: Solve for x
    x = 89,042,394.37/10,141.25
  6. Step 6: Final answer
    x = 8,780.22

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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.