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Finding the Fourth Proportional to 10,081.78, 13,912.20 and 5,605.37

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Solution

The fourth proportional to 10,081.78, 13,912.20 and 5,605.37 is: 7,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.78 : 13,912.20 = 5,605.37 : x
  2. Step 2: Convert to fraction form
    10,081.78/13,912.20 = 5,605.37/x
  3. Step 3: Cross multiply
    10,081.78x = 13,912.20 × 5,605.37
  4. Step 4: Simplify right side
    10,081.78x = 77,983,028.51
  5. Step 5: Solve for x
    x = 77,983,028.51/10,081.78
  6. Step 6: Final answer
    x = 7,735.05

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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.