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Finding the Fourth Proportional to 11,726.80, 16,190.53 and 10,465.69

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Solution

The fourth proportional to 11,726.80, 16,190.53 and 10,465.69 is: 14,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.80 : 16,190.53 = 10,465.69 : x
  2. Step 2: Convert to fraction form
    11,726.80/16,190.53 = 10,465.69/x
  3. Step 3: Cross multiply
    11,726.80x = 16,190.53 × 10,465.69
  4. Step 4: Simplify right side
    11,726.80x = 169,445,067.92
  5. Step 5: Solve for x
    x = 169,445,067.92/11,726.80
  6. Step 6: Final answer
    x = 14,449.39

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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.