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Finding the Fourth Proportional to 10,193.74, 14,067.93 and 7,671.31

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Solution

The fourth proportional to 10,193.74, 14,067.93 and 7,671.31 is: 10,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.74 : 14,067.93 = 7,671.31 : x
  2. Step 2: Convert to fraction form
    10,193.74/14,067.93 = 7,671.31/x
  3. Step 3: Cross multiply
    10,193.74x = 14,067.93 × 7,671.31
  4. Step 4: Simplify right side
    10,193.74x = 107,919,452.09
  5. Step 5: Solve for x
    x = 107,919,452.09/10,193.74
  6. Step 6: Final answer
    x = 10,586.84

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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.