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Finding the Fourth Proportional to 10,199.73, 14,069.16 and 7,371.27

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Solution

The fourth proportional to 10,199.73, 14,069.16 and 7,371.27 is: 10,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.73 : 14,069.16 = 7,371.27 : x
  2. Step 2: Convert to fraction form
    10,199.73/14,069.16 = 7,371.27/x
  3. Step 3: Cross multiply
    10,199.73x = 14,069.16 × 7,371.27
  4. Step 4: Simplify right side
    10,199.73x = 103,707,577.03
  5. Step 5: Solve for x
    x = 103,707,577.03/10,199.73
  6. Step 6: Final answer
    x = 10,167.68

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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.