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Finding the Fourth Proportional to 11,097.14, 16,619.52 and 5,819.54

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Solution

The fourth proportional to 11,097.14, 16,619.52 and 5,819.54 is: 8,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.14 : 16,619.52 = 5,819.54 : x
  2. Step 2: Convert to fraction form
    11,097.14/16,619.52 = 5,819.54/x
  3. Step 3: Cross multiply
    11,097.14x = 16,619.52 × 5,819.54
  4. Step 4: Simplify right side
    11,097.14x = 96,717,961.42
  5. Step 5: Solve for x
    x = 96,717,961.42/11,097.14
  6. Step 6: Final answer
    x = 8,715.58

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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.