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Finding the Fourth Proportional to 11,751.37, 17,628.70 and 3,431.99

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Solution

The fourth proportional to 11,751.37, 17,628.70 and 3,431.99 is: 5,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.37 : 17,628.70 = 3,431.99 : x
  2. Step 2: Convert to fraction form
    11,751.37/17,628.70 = 3,431.99/x
  3. Step 3: Cross multiply
    11,751.37x = 17,628.70 × 3,431.99
  4. Step 4: Simplify right side
    11,751.37x = 60,501,564.04
  5. Step 5: Solve for x
    x = 60,501,564.04/11,751.37
  6. Step 6: Final answer
    x = 5,148.47

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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.