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Finding the Fourth Proportional to 11,449.71, 17,174.88 and 3,129.84

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Solution

The fourth proportional to 11,449.71, 17,174.88 and 3,129.84 is: 4,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.71 : 17,174.88 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    11,449.71/17,174.88 = 3,129.84/x
  3. Step 3: Cross multiply
    11,449.71x = 17,174.88 × 3,129.84
  4. Step 4: Simplify right side
    11,449.71x = 53,754,626.42
  5. Step 5: Solve for x
    x = 53,754,626.42/11,449.71
  6. Step 6: Final answer
    x = 4,694.85

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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.