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Finding the Fourth Proportional to 11,302.56, 16,960.32 and 6,309.12

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Solution

The fourth proportional to 11,302.56, 16,960.32 and 6,309.12 is: 9,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.56 : 16,960.32 = 6,309.12 : x
  2. Step 2: Convert to fraction form
    11,302.56/16,960.32 = 6,309.12/x
  3. Step 3: Cross multiply
    11,302.56x = 16,960.32 × 6,309.12
  4. Step 4: Simplify right side
    11,302.56x = 107,004,694.12
  5. Step 5: Solve for x
    x = 107,004,694.12/11,302.56
  6. Step 6: Final answer
    x = 9,467.30

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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.