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Finding the Fourth Proportional to 10,684.97, 14,745.27 and 5,969.25

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Solution

The fourth proportional to 10,684.97, 14,745.27 and 5,969.25 is: 8,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.97 : 14,745.27 = 5,969.25 : x
  2. Step 2: Convert to fraction form
    10,684.97/14,745.27 = 5,969.25/x
  3. Step 3: Cross multiply
    10,684.97x = 14,745.27 × 5,969.25
  4. Step 4: Simplify right side
    10,684.97x = 88,018,173.10
  5. Step 5: Solve for x
    x = 88,018,173.10/10,684.97
  6. Step 6: Final answer
    x = 8,237.57

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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.