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Finding the Fourth Proportional to 10,825.33, 16,238.13 and 3,805.06

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Solution

The fourth proportional to 10,825.33, 16,238.13 and 3,805.06 is: 5,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.33 : 16,238.13 = 3,805.06 : x
  2. Step 2: Convert to fraction form
    10,825.33/16,238.13 = 3,805.06/x
  3. Step 3: Cross multiply
    10,825.33x = 16,238.13 × 3,805.06
  4. Step 4: Simplify right side
    10,825.33x = 61,787,058.94
  5. Step 5: Solve for x
    x = 61,787,058.94/10,825.33
  6. Step 6: Final answer
    x = 5,707.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.