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Finding the Fourth Proportional to 11,867.77, 16,383.71 and 11,082.49

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Solution

The fourth proportional to 11,867.77, 16,383.71 and 11,082.49 is: 15,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.77 : 16,383.71 = 11,082.49 : x
  2. Step 2: Convert to fraction form
    11,867.77/16,383.71 = 11,082.49/x
  3. Step 3: Cross multiply
    11,867.77x = 16,383.71 × 11,082.49
  4. Step 4: Simplify right side
    11,867.77x = 181,572,246.83
  5. Step 5: Solve for x
    x = 181,572,246.83/11,867.77
  6. Step 6: Final answer
    x = 15,299.61

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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.