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Finding the Fourth Proportional to 11,651.84, 17,478.08 and 3,860.80

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Solution

The fourth proportional to 11,651.84, 17,478.08 and 3,860.80 is: 5,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.84 : 17,478.08 = 3,860.80 : x
  2. Step 2: Convert to fraction form
    11,651.84/17,478.08 = 3,860.80/x
  3. Step 3: Cross multiply
    11,651.84x = 17,478.08 × 3,860.80
  4. Step 4: Simplify right side
    11,651.84x = 67,479,371.26
  5. Step 5: Solve for x
    x = 67,479,371.26/11,651.84
  6. Step 6: Final answer
    x = 5,791.31

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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.