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Finding the Fourth Proportional to 11,465.60, 17,198.78 and 4,069.96

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Solution

The fourth proportional to 11,465.60, 17,198.78 and 4,069.96 is: 6,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.60 : 17,198.78 = 4,069.96 : x
  2. Step 2: Convert to fraction form
    11,465.60/17,198.78 = 4,069.96/x
  3. Step 3: Cross multiply
    11,465.60x = 17,198.78 × 4,069.96
  4. Step 4: Simplify right side
    11,465.60x = 69,998,346.65
  5. Step 5: Solve for x
    x = 69,998,346.65/11,465.60
  6. Step 6: Final answer
    x = 6,105.07

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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.