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Finding the Fourth Proportional to 11,726.43, 16,182.09 and 6,421.14

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Solution

The fourth proportional to 11,726.43, 16,182.09 and 6,421.14 is: 8,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.43 : 16,182.09 = 6,421.14 : x
  2. Step 2: Convert to fraction form
    11,726.43/16,182.09 = 6,421.14/x
  3. Step 3: Cross multiply
    11,726.43x = 16,182.09 × 6,421.14
  4. Step 4: Simplify right side
    11,726.43x = 103,907,465.38
  5. Step 5: Solve for x
    x = 103,907,465.38/11,726.43
  6. Step 6: Final answer
    x = 8,860.96

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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.