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Finding the Fourth Proportional to 11,726.87, 16,183.08 and 6,421.68

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Solution

The fourth proportional to 11,726.87, 16,183.08 and 6,421.68 is: 8,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.87 : 16,183.08 = 6,421.68 : x
  2. Step 2: Convert to fraction form
    11,726.87/16,183.08 = 6,421.68/x
  3. Step 3: Cross multiply
    11,726.87x = 16,183.08 × 6,421.68
  4. Step 4: Simplify right side
    11,726.87x = 103,922,561.17
  5. Step 5: Solve for x
    x = 103,922,561.17/11,726.87
  6. Step 6: Final answer
    x = 8,861.92

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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.