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Finding the Fourth Proportional to 11,649.16, 17,471.16 and 3,749.56

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Solution

The fourth proportional to 11,649.16, 17,471.16 and 3,749.56 is: 5,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.16 : 17,471.16 = 3,749.56 : x
  2. Step 2: Convert to fraction form
    11,649.16/17,471.16 = 3,749.56/x
  3. Step 3: Cross multiply
    11,649.16x = 17,471.16 × 3,749.56
  4. Step 4: Simplify right side
    11,649.16x = 65,509,162.69
  5. Step 5: Solve for x
    x = 65,509,162.69/11,649.16
  6. Step 6: Final answer
    x = 5,623.51

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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.