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Finding the Fourth Proportional to 12,896.01, 17,799.66 and 7,863

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Solution

The fourth proportional to 12,896.01, 17,799.66 and 7,863 is: 10,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.01 : 17,799.66 = 7,863 : x
  2. Step 2: Convert to fraction form
    12,896.01/17,799.66 = 7,863/x
  3. Step 3: Cross multiply
    12,896.01x = 17,799.66 × 7,863
  4. Step 4: Simplify right side
    12,896.01x = 139,958,687.27
  5. Step 5: Solve for x
    x = 139,958,687.27/12,896.01
  6. Step 6: Final answer
    x = 10,852.87

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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.