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Finding the Fourth Proportional to 10,067.68, 13,892.58 and 5,819.02

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Solution

The fourth proportional to 10,067.68, 13,892.58 and 5,819.02 is: 8,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.68 : 13,892.58 = 5,819.02 : x
  2. Step 2: Convert to fraction form
    10,067.68/13,892.58 = 5,819.02/x
  3. Step 3: Cross multiply
    10,067.68x = 13,892.58 × 5,819.02
  4. Step 4: Simplify right side
    10,067.68x = 80,841,167.37
  5. Step 5: Solve for x
    x = 80,841,167.37/10,067.68
  6. Step 6: Final answer
    x = 8,029.77

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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.