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Finding the Fourth Proportional to 10,142.70, 13,976.98 and 7,755.37

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Solution

The fourth proportional to 10,142.70, 13,976.98 and 7,755.37 is: 10,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.70 : 13,976.98 = 7,755.37 : x
  2. Step 2: Convert to fraction form
    10,142.70/13,976.98 = 7,755.37/x
  3. Step 3: Cross multiply
    10,142.70x = 13,976.98 × 7,755.37
  4. Step 4: Simplify right side
    10,142.70x = 108,396,651.38
  5. Step 5: Solve for x
    x = 108,396,651.38/10,142.70
  6. Step 6: Final answer
    x = 10,687.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.