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Finding the Fourth Proportional to 11,687.06, 16,128.20 and 6,382

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Solution

The fourth proportional to 11,687.06, 16,128.20 and 6,382 is: 8,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.06 : 16,128.20 = 6,382 : x
  2. Step 2: Convert to fraction form
    11,687.06/16,128.20 = 6,382/x
  3. Step 3: Cross multiply
    11,687.06x = 16,128.20 × 6,382
  4. Step 4: Simplify right side
    11,687.06x = 102,930,172.40
  5. Step 5: Solve for x
    x = 102,930,172.40/11,687.06
  6. Step 6: Final answer
    x = 8,807.19

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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.