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Finding the Fourth Proportional to 11,611.97, 17,412.62 and 3,712.95

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Solution

The fourth proportional to 11,611.97, 17,412.62 and 3,712.95 is: 5,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.97 : 17,412.62 = 3,712.95 : x
  2. Step 2: Convert to fraction form
    11,611.97/17,412.62 = 3,712.95/x
  3. Step 3: Cross multiply
    11,611.97x = 17,412.62 × 3,712.95
  4. Step 4: Simplify right side
    11,611.97x = 64,652,187.43
  5. Step 5: Solve for x
    x = 64,652,187.43/11,611.97
  6. Step 6: Final answer
    x = 5,567.72

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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.