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Finding the Fourth Proportional to 11,849.37, 16,332.64 and 8,401.11

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Solution

The fourth proportional to 11,849.37, 16,332.64 and 8,401.11 is: 11,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.37 : 16,332.64 = 8,401.11 : x
  2. Step 2: Convert to fraction form
    11,849.37/16,332.64 = 8,401.11/x
  3. Step 3: Cross multiply
    11,849.37x = 16,332.64 × 8,401.11
  4. Step 4: Simplify right side
    11,849.37x = 137,212,305.23
  5. Step 5: Solve for x
    x = 137,212,305.23/11,849.37
  6. Step 6: Final answer
    x = 11,579.71

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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.