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Finding the Fourth Proportional to 10,896.49, 15,035.96 and 6,115.47

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Solution

The fourth proportional to 10,896.49, 15,035.96 and 6,115.47 is: 8,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.49 : 15,035.96 = 6,115.47 : x
  2. Step 2: Convert to fraction form
    10,896.49/15,035.96 = 6,115.47/x
  3. Step 3: Cross multiply
    10,896.49x = 15,035.96 × 6,115.47
  4. Step 4: Simplify right side
    10,896.49x = 91,951,921.21
  5. Step 5: Solve for x
    x = 91,951,921.21/10,896.49
  6. Step 6: Final answer
    x = 8,438.67

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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.