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Finding the Fourth Proportional to 10,193.47, 14,072.26 and 7,919.73

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Solution

The fourth proportional to 10,193.47, 14,072.26 and 7,919.73 is: 10,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.47 : 14,072.26 = 7,919.73 : x
  2. Step 2: Convert to fraction form
    10,193.47/14,072.26 = 7,919.73/x
  3. Step 3: Cross multiply
    10,193.47x = 14,072.26 × 7,919.73
  4. Step 4: Simplify right side
    10,193.47x = 111,448,499.69
  5. Step 5: Solve for x
    x = 111,448,499.69/10,193.47
  6. Step 6: Final answer
    x = 10,933.32

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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.