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Finding the Fourth Proportional to 11,752.99, 17,634.09 and 5,174.56

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Solution

The fourth proportional to 11,752.99, 17,634.09 and 5,174.56 is: 7,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.99 : 17,634.09 = 5,174.56 : x
  2. Step 2: Convert to fraction form
    11,752.99/17,634.09 = 5,174.56/x
  3. Step 3: Cross multiply
    11,752.99x = 17,634.09 × 5,174.56
  4. Step 4: Simplify right side
    11,752.99x = 91,248,656.75
  5. Step 5: Solve for x
    x = 91,248,656.75/11,752.99
  6. Step 6: Final answer
    x = 7,763.87

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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.