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Finding the Fourth Proportional to 11,687.46, 16,128.72 and 6,382.14

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Solution

The fourth proportional to 11,687.46, 16,128.72 and 6,382.14 is: 8,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.46 : 16,128.72 = 6,382.14 : x
  2. Step 2: Convert to fraction form
    11,687.46/16,128.72 = 6,382.14/x
  3. Step 3: Cross multiply
    11,687.46x = 16,128.72 × 6,382.14
  4. Step 4: Simplify right side
    11,687.46x = 102,935,749.06
  5. Step 5: Solve for x
    x = 102,935,749.06/11,687.46
  6. Step 6: Final answer
    x = 8,807.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.