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Finding the Fourth Proportional to 12,743.40, 17,581.49 and 7,960.08

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Solution

The fourth proportional to 12,743.40, 17,581.49 and 7,960.08 is: 10,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.40 : 17,581.49 = 7,960.08 : x
  2. Step 2: Convert to fraction form
    12,743.40/17,581.49 = 7,960.08/x
  3. Step 3: Cross multiply
    12,743.40x = 17,581.49 × 7,960.08
  4. Step 4: Simplify right side
    12,743.40x = 139,950,131.87
  5. Step 5: Solve for x
    x = 139,950,131.87/12,743.40
  6. Step 6: Final answer
    x = 10,982.17

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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.