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Finding the Fourth Proportional to 10,251.50, 14,110.90 and 7,414.27

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Solution

The fourth proportional to 10,251.50, 14,110.90 and 7,414.27 is: 10,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.50 : 14,110.90 = 7,414.27 : x
  2. Step 2: Convert to fraction form
    10,251.50/14,110.90 = 7,414.27/x
  3. Step 3: Cross multiply
    10,251.50x = 14,110.90 × 7,414.27
  4. Step 4: Simplify right side
    10,251.50x = 104,621,968.73
  5. Step 5: Solve for x
    x = 104,621,968.73/10,251.50
  6. Step 6: Final answer
    x = 10,205.53

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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.