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Finding the Fourth Proportional to 10,745.97, 14,829.21 and 5,965.63

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Solution

The fourth proportional to 10,745.97, 14,829.21 and 5,965.63 is: 8,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.97 : 14,829.21 = 5,965.63 : x
  2. Step 2: Convert to fraction form
    10,745.97/14,829.21 = 5,965.63/x
  3. Step 3: Cross multiply
    10,745.97x = 14,829.21 × 5,965.63
  4. Step 4: Simplify right side
    10,745.97x = 88,465,580.05
  5. Step 5: Solve for x
    x = 88,465,580.05/10,745.97
  6. Step 6: Final answer
    x = 8,232.44

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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.