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Finding the Fourth Proportional to 10,081.77, 13,912.83 and 5,605.38

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Solution

The fourth proportional to 10,081.77, 13,912.83 and 5,605.38 is: 7,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.77 : 13,912.83 = 5,605.38 : x
  2. Step 2: Convert to fraction form
    10,081.77/13,912.83 = 5,605.38/x
  3. Step 3: Cross multiply
    10,081.77x = 13,912.83 × 5,605.38
  4. Step 4: Simplify right side
    10,081.77x = 77,986,699.03
  5. Step 5: Solve for x
    x = 77,986,699.03/10,081.77
  6. Step 6: Final answer
    x = 7,735.42

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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.