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Finding the Fourth Proportional to 11,873.82, 16,390.89 and 7,399.77

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Solution

The fourth proportional to 11,873.82, 16,390.89 and 7,399.77 is: 10,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.82 : 16,390.89 = 7,399.77 : x
  2. Step 2: Convert to fraction form
    11,873.82/16,390.89 = 7,399.77/x
  3. Step 3: Cross multiply
    11,873.82x = 16,390.89 × 7,399.77
  4. Step 4: Simplify right side
    11,873.82x = 121,288,816.10
  5. Step 5: Solve for x
    x = 121,288,816.10/11,873.82
  6. Step 6: Final answer
    x = 10,214.81

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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.