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Finding the Fourth Proportional to 10,745.94, 14,829.42 and 5,965.95

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Solution

The fourth proportional to 10,745.94, 14,829.42 and 5,965.95 is: 8,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.94 : 14,829.42 = 5,965.95 : x
  2. Step 2: Convert to fraction form
    10,745.94/14,829.42 = 5,965.95/x
  3. Step 3: Cross multiply
    10,745.94x = 14,829.42 × 5,965.95
  4. Step 4: Simplify right side
    10,745.94x = 88,471,578.25
  5. Step 5: Solve for x
    x = 88,471,578.25/10,745.94
  6. Step 6: Final answer
    x = 8,233.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.