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Finding the Fourth Proportional to 10,725.44, 14,801.74 and 5,945.42

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Solution

The fourth proportional to 10,725.44, 14,801.74 and 5,945.42 is: 8,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.44 : 14,801.74 = 5,945.42 : x
  2. Step 2: Convert to fraction form
    10,725.44/14,801.74 = 5,945.42/x
  3. Step 3: Cross multiply
    10,725.44x = 14,801.74 × 5,945.42
  4. Step 4: Simplify right side
    10,725.44x = 88,002,583.17
  5. Step 5: Solve for x
    x = 88,002,583.17/10,725.44
  6. Step 6: Final answer
    x = 8,205.04

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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.