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Finding the Fourth Proportional to 10,231.37, 15,313.76 and 5,720.99

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Solution

The fourth proportional to 10,231.37, 15,313.76 and 5,720.99 is: 8,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.37 : 15,313.76 = 5,720.99 : x
  2. Step 2: Convert to fraction form
    10,231.37/15,313.76 = 5,720.99/x
  3. Step 3: Cross multiply
    10,231.37x = 15,313.76 × 5,720.99
  4. Step 4: Simplify right side
    10,231.37x = 87,609,874.97
  5. Step 5: Solve for x
    x = 87,609,874.97/10,231.37
  6. Step 6: Final answer
    x = 8,562.87

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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.