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Finding the Fourth Proportional to 11,566.68, 17,355.41 and 3,670.44

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Solution

The fourth proportional to 11,566.68, 17,355.41 and 3,670.44 is: 5,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.68 : 17,355.41 = 3,670.44 : x
  2. Step 2: Convert to fraction form
    11,566.68/17,355.41 = 3,670.44/x
  3. Step 3: Cross multiply
    11,566.68x = 17,355.41 × 3,670.44
  4. Step 4: Simplify right side
    11,566.68x = 63,701,972.73
  5. Step 5: Solve for x
    x = 63,701,972.73/11,566.68
  6. Step 6: Final answer
    x = 5,507.37

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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.