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Finding the Fourth Proportional to 12,620.29, 17,408.77 and 7,896.37

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Solution

The fourth proportional to 12,620.29, 17,408.77 and 7,896.37 is: 10,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.29 : 17,408.77 = 7,896.37 : x
  2. Step 2: Convert to fraction form
    12,620.29/17,408.77 = 7,896.37/x
  3. Step 3: Cross multiply
    12,620.29x = 17,408.77 × 7,896.37
  4. Step 4: Simplify right side
    12,620.29x = 137,466,089.16
  5. Step 5: Solve for x
    x = 137,466,089.16/12,620.29
  6. Step 6: Final answer
    x = 10,892.47

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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.