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Finding the Fourth Proportional to 10,745.82, 14,828.99 and 5,965.48

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Solution

The fourth proportional to 10,745.82, 14,828.99 and 5,965.48 is: 8,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.82 : 14,828.99 = 5,965.48 : x
  2. Step 2: Convert to fraction form
    10,745.82/14,828.99 = 5,965.48/x
  3. Step 3: Cross multiply
    10,745.82x = 14,828.99 × 5,965.48
  4. Step 4: Simplify right side
    10,745.82x = 88,461,976.37
  5. Step 5: Solve for x
    x = 88,461,976.37/10,745.82
  6. Step 6: Final answer
    x = 8,232.22

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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.