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Finding the Fourth Proportional to 10,647.29, 15,954.50 and 6,743.49

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Solution

The fourth proportional to 10,647.29, 15,954.50 and 6,743.49 is: 10,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.29 : 15,954.50 = 6,743.49 : x
  2. Step 2: Convert to fraction form
    10,647.29/15,954.50 = 6,743.49/x
  3. Step 3: Cross multiply
    10,647.29x = 15,954.50 × 6,743.49
  4. Step 4: Simplify right side
    10,647.29x = 107,589,011.21
  5. Step 5: Solve for x
    x = 107,589,011.21/10,647.29
  6. Step 6: Final answer
    x = 10,104.83

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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.