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Finding the Fourth Proportional to 11,639.43, 17,457.93 and 6,896.07

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Solution

The fourth proportional to 11,639.43, 17,457.93 and 6,896.07 is: 10,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.43 : 17,457.93 = 6,896.07 : x
  2. Step 2: Convert to fraction form
    11,639.43/17,457.93 = 6,896.07/x
  3. Step 3: Cross multiply
    11,639.43x = 17,457.93 × 6,896.07
  4. Step 4: Simplify right side
    11,639.43x = 120,391,107.34
  5. Step 5: Solve for x
    x = 120,391,107.34/11,639.43
  6. Step 6: Final answer
    x = 10,343.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.