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Finding the Fourth Proportional to 11,726.83, 17,591.16 and 3,406.98

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Solution

The fourth proportional to 11,726.83, 17,591.16 and 3,406.98 is: 5,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.83 : 17,591.16 = 3,406.98 : x
  2. Step 2: Convert to fraction form
    11,726.83/17,591.16 = 3,406.98/x
  3. Step 3: Cross multiply
    11,726.83x = 17,591.16 × 3,406.98
  4. Step 4: Simplify right side
    11,726.83x = 59,932,713.26
  5. Step 5: Solve for x
    x = 59,932,713.26/11,726.83
  6. Step 6: Final answer
    x = 5,110.74

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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.