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Finding the Fourth Proportional to 11,709.49, 17,564.04 and 2,944.42

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Solution

The fourth proportional to 11,709.49, 17,564.04 and 2,944.42 is: 4,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.49 : 17,564.04 = 2,944.42 : x
  2. Step 2: Convert to fraction form
    11,709.49/17,564.04 = 2,944.42/x
  3. Step 3: Cross multiply
    11,709.49x = 17,564.04 × 2,944.42
  4. Step 4: Simplify right side
    11,709.49x = 51,715,910.66
  5. Step 5: Solve for x
    x = 51,715,910.66/11,709.49
  6. Step 6: Final answer
    x = 4,416.58

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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.