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Finding the Fourth Proportional to 10,684.98, 14,745.26 and 5,905.28

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Solution

The fourth proportional to 10,684.98, 14,745.26 and 5,905.28 is: 8,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.98 : 14,745.26 = 5,905.28 : x
  2. Step 2: Convert to fraction form
    10,684.98/14,745.26 = 5,905.28/x
  3. Step 3: Cross multiply
    10,684.98x = 14,745.26 × 5,905.28
  4. Step 4: Simplify right side
    10,684.98x = 87,074,940.60
  5. Step 5: Solve for x
    x = 87,074,940.60/10,684.98
  6. Step 6: Final answer
    x = 8,149.28

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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.