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Finding the Fourth Proportional to 10,234.96, 15,349.17 and 3,993.45

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Solution

The fourth proportional to 10,234.96, 15,349.17 and 3,993.45 is: 5,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.96 : 15,349.17 = 3,993.45 : x
  2. Step 2: Convert to fraction form
    10,234.96/15,349.17 = 3,993.45/x
  3. Step 3: Cross multiply
    10,234.96x = 15,349.17 × 3,993.45
  4. Step 4: Simplify right side
    10,234.96x = 61,296,142.94
  5. Step 5: Solve for x
    x = 61,296,142.94/10,234.96
  6. Step 6: Final answer
    x = 5,988.90

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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.