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Finding the Fourth Proportional to 11,873.81, 16,390.90 and 7,399.77

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Solution

The fourth proportional to 11,873.81, 16,390.90 and 7,399.77 is: 10,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.81 : 16,390.90 = 7,399.77 : x
  2. Step 2: Convert to fraction form
    11,873.81/16,390.90 = 7,399.77/x
  3. Step 3: Cross multiply
    11,873.81x = 16,390.90 × 7,399.77
  4. Step 4: Simplify right side
    11,873.81x = 121,288,890.09
  5. Step 5: Solve for x
    x = 121,288,890.09/11,873.81
  6. Step 6: Final answer
    x = 10,214.82

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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.