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Finding the Fourth Proportional to 10,446.09, 15,651.54 and 5,174.07

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Solution

The fourth proportional to 10,446.09, 15,651.54 and 5,174.07 is: 7,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.09 : 15,651.54 = 5,174.07 : x
  2. Step 2: Convert to fraction form
    10,446.09/15,651.54 = 5,174.07/x
  3. Step 3: Cross multiply
    10,446.09x = 15,651.54 × 5,174.07
  4. Step 4: Simplify right side
    10,446.09x = 80,982,163.57
  5. Step 5: Solve for x
    x = 80,982,163.57/10,446.09
  6. Step 6: Final answer
    x = 7,752.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.