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Finding the Fourth Proportional to 11,896.20, 16,417.08 and 6,591.60

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Solution

The fourth proportional to 11,896.20, 16,417.08 and 6,591.60 is: 9,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.20 : 16,417.08 = 6,591.60 : x
  2. Step 2: Convert to fraction form
    11,896.20/16,417.08 = 6,591.60/x
  3. Step 3: Cross multiply
    11,896.20x = 16,417.08 × 6,591.60
  4. Step 4: Simplify right side
    11,896.20x = 108,214,824.53
  5. Step 5: Solve for x
    x = 108,214,824.53/11,896.20
  6. Step 6: Final answer
    x = 9,096.59

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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.