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Finding the Fourth Proportional to 11,896.64, 16,417.49 and 6,591.77

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Solution

The fourth proportional to 11,896.64, 16,417.49 and 6,591.77 is: 9,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.64 : 16,417.49 = 6,591.77 : x
  2. Step 2: Convert to fraction form
    11,896.64/16,417.49 = 6,591.77/x
  3. Step 3: Cross multiply
    11,896.64x = 16,417.49 × 6,591.77
  4. Step 4: Simplify right side
    11,896.64x = 108,220,203.01
  5. Step 5: Solve for x
    x = 108,220,203.01/11,896.64
  6. Step 6: Final answer
    x = 9,096.71

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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.