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Finding the Fourth Proportional to 10,313.82, 15,462.09 and 4,162.14

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Solution

The fourth proportional to 10,313.82, 15,462.09 and 4,162.14 is: 6,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.82 : 15,462.09 = 4,162.14 : x
  2. Step 2: Convert to fraction form
    10,313.82/15,462.09 = 4,162.14/x
  3. Step 3: Cross multiply
    10,313.82x = 15,462.09 × 4,162.14
  4. Step 4: Simplify right side
    10,313.82x = 64,355,383.27
  5. Step 5: Solve for x
    x = 64,355,383.27/10,313.82
  6. Step 6: Final answer
    x = 6,239.72

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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.