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Finding the Fourth Proportional to 11,726.76, 16,183.66 and 7,696

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Solution

The fourth proportional to 11,726.76, 16,183.66 and 7,696 is: 10,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.76 : 16,183.66 = 7,696 : x
  2. Step 2: Convert to fraction form
    11,726.76/16,183.66 = 7,696/x
  3. Step 3: Cross multiply
    11,726.76x = 16,183.66 × 7,696
  4. Step 4: Simplify right side
    11,726.76x = 124,549,447.36
  5. Step 5: Solve for x
    x = 124,549,447.36/11,726.76
  6. Step 6: Final answer
    x = 10,620.96

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Why These Related Problems?

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