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Finding the Fourth Proportional to 11,726.69, 16,183.24 and 6,421.55

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Solution

The fourth proportional to 11,726.69, 16,183.24 and 6,421.55 is: 8,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.69 : 16,183.24 = 6,421.55 : x
  2. Step 2: Convert to fraction form
    11,726.69/16,183.24 = 6,421.55/x
  3. Step 3: Cross multiply
    11,726.69x = 16,183.24 × 6,421.55
  4. Step 4: Simplify right side
    11,726.69x = 103,921,484.82
  5. Step 5: Solve for x
    x = 103,921,484.82/11,726.69
  6. Step 6: Final answer
    x = 8,861.96

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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.