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Finding the Fourth Proportional to 11,896.73, 16,417.05 and 6,861.16

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Solution

The fourth proportional to 11,896.73, 16,417.05 and 6,861.16 is: 9,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.73 : 16,417.05 = 6,861.16 : x
  2. Step 2: Convert to fraction form
    11,896.73/16,417.05 = 6,861.16/x
  3. Step 3: Cross multiply
    11,896.73x = 16,417.05 × 6,861.16
  4. Step 4: Simplify right side
    11,896.73x = 112,640,006.78
  5. Step 5: Solve for x
    x = 112,640,006.78/11,896.73
  6. Step 6: Final answer
    x = 9,468.15

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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.