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Finding the Fourth Proportional to 10,745.25, 14,829.33 and 5,965.64

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Solution

The fourth proportional to 10,745.25, 14,829.33 and 5,965.64 is: 8,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.25 : 14,829.33 = 5,965.64 : x
  2. Step 2: Convert to fraction form
    10,745.25/14,829.33 = 5,965.64/x
  3. Step 3: Cross multiply
    10,745.25x = 14,829.33 × 5,965.64
  4. Step 4: Simplify right side
    10,745.25x = 88,466,444.22
  5. Step 5: Solve for x
    x = 88,466,444.22/10,745.25
  6. Step 6: Final answer
    x = 8,233.07

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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.