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Finding the Fourth Proportional to 10,709.74, 16,067.00 and 5,167.73

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Solution

The fourth proportional to 10,709.74, 16,067.00 and 5,167.73 is: 7,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.74 : 16,067.00 = 5,167.73 : x
  2. Step 2: Convert to fraction form
    10,709.74/16,067.00 = 5,167.73/x
  3. Step 3: Cross multiply
    10,709.74x = 16,067.00 × 5,167.73
  4. Step 4: Simplify right side
    10,709.74x = 83,029,892.07
  5. Step 5: Solve for x
    x = 83,029,892.07/10,709.74
  6. Step 6: Final answer
    x = 7,752.75

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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.