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Finding the Fourth Proportional to 11,726.74, 16,182.91 and 6,349.15

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Solution

The fourth proportional to 11,726.74, 16,182.91 and 6,349.15 is: 8,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.74 : 16,182.91 = 6,349.15 : x
  2. Step 2: Convert to fraction form
    11,726.74/16,182.91 = 6,349.15/x
  3. Step 3: Cross multiply
    11,726.74x = 16,182.91 × 6,349.15
  4. Step 4: Simplify right side
    11,726.74x = 102,747,751.19
  5. Step 5: Solve for x
    x = 102,747,751.19/11,726.74
  6. Step 6: Final answer
    x = 8,761.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.