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Finding the Fourth Proportional to 11,819, 17,721.12 and 4,419.56

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Solution

The fourth proportional to 11,819, 17,721.12 and 4,419.56 is: 6,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819 : 17,721.12 = 4,419.56 : x
  2. Step 2: Convert to fraction form
    11,819/17,721.12 = 4,419.56/x
  3. Step 3: Cross multiply
    11,819x = 17,721.12 × 4,419.56
  4. Step 4: Simplify right side
    11,819x = 78,319,553.11
  5. Step 5: Solve for x
    x = 78,319,553.11/11,819
  6. Step 6: Final answer
    x = 6,626.58

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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.