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Finding the Fourth Proportional to 11,726.40, 16,182.44 and 6,421.22

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Solution

The fourth proportional to 11,726.40, 16,182.44 and 6,421.22 is: 8,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.40 : 16,182.44 = 6,421.22 : x
  2. Step 2: Convert to fraction form
    11,726.40/16,182.44 = 6,421.22/x
  3. Step 3: Cross multiply
    11,726.40x = 16,182.44 × 6,421.22
  4. Step 4: Simplify right side
    11,726.40x = 103,911,007.38
  5. Step 5: Solve for x
    x = 103,911,007.38/11,726.40
  6. Step 6: Final answer
    x = 8,861.29

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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.