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Finding the Fourth Proportional to 11,728.12, 17,591.49 and 3,407.95

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Solution

The fourth proportional to 11,728.12, 17,591.49 and 3,407.95 is: 5,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.12 : 17,591.49 = 3,407.95 : x
  2. Step 2: Convert to fraction form
    11,728.12/17,591.49 = 3,407.95/x
  3. Step 3: Cross multiply
    11,728.12x = 17,591.49 × 3,407.95
  4. Step 4: Simplify right side
    11,728.12x = 59,950,918.35
  5. Step 5: Solve for x
    x = 59,950,918.35/11,728.12
  6. Step 6: Final answer
    x = 5,111.72

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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.