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Finding the Fourth Proportional to 10,365.36, 15,542.76 and 3,789.84

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Solution

The fourth proportional to 10,365.36, 15,542.76 and 3,789.84 is: 5,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.36 : 15,542.76 = 3,789.84 : x
  2. Step 2: Convert to fraction form
    10,365.36/15,542.76 = 3,789.84/x
  3. Step 3: Cross multiply
    10,365.36x = 15,542.76 × 3,789.84
  4. Step 4: Simplify right side
    10,365.36x = 58,904,573.56
  5. Step 5: Solve for x
    x = 58,904,573.56/10,365.36
  6. Step 6: Final answer
    x = 5,682.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.