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Finding the Fourth Proportional to 11,896.74, 16,417.76 and 6,591.92

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Solution

The fourth proportional to 11,896.74, 16,417.76 and 6,591.92 is: 9,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.74 : 16,417.76 = 6,591.92 : x
  2. Step 2: Convert to fraction form
    11,896.74/16,417.76 = 6,591.92/x
  3. Step 3: Cross multiply
    11,896.74x = 16,417.76 × 6,591.92
  4. Step 4: Simplify right side
    11,896.74x = 108,224,445.45
  5. Step 5: Solve for x
    x = 108,224,445.45/11,896.74
  6. Step 6: Final answer
    x = 9,096.98

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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.