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Finding the Fourth Proportional to 11,716.83, 17,574.72 and 3,396.66

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Solution

The fourth proportional to 11,716.83, 17,574.72 and 3,396.66 is: 5,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.83 : 17,574.72 = 3,396.66 : x
  2. Step 2: Convert to fraction form
    11,716.83/17,574.72 = 3,396.66/x
  3. Step 3: Cross multiply
    11,716.83x = 17,574.72 × 3,396.66
  4. Step 4: Simplify right side
    11,716.83x = 59,695,348.44
  5. Step 5: Solve for x
    x = 59,695,348.44/11,716.83
  6. Step 6: Final answer
    x = 5,094.84

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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.