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Finding the Fourth Proportional to 10,685.25, 14,745.65 and 5,969.97

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Solution

The fourth proportional to 10,685.25, 14,745.65 and 5,969.97 is: 8,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.25 : 14,745.65 = 5,969.97 : x
  2. Step 2: Convert to fraction form
    10,685.25/14,745.65 = 5,969.97/x
  3. Step 3: Cross multiply
    10,685.25x = 14,745.65 × 5,969.97
  4. Step 4: Simplify right side
    10,685.25x = 88,031,058.28
  5. Step 5: Solve for x
    x = 88,031,058.28/10,685.25
  6. Step 6: Final answer
    x = 8,238.56

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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.