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Finding the Fourth Proportional to 11,687.26, 16,128.63 and 6,382.27

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Solution

The fourth proportional to 11,687.26, 16,128.63 and 6,382.27 is: 8,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.26 : 16,128.63 = 6,382.27 : x
  2. Step 2: Convert to fraction form
    11,687.26/16,128.63 = 6,382.27/x
  3. Step 3: Cross multiply
    11,687.26x = 16,128.63 × 6,382.27
  4. Step 4: Simplify right side
    11,687.26x = 102,937,271.39
  5. Step 5: Solve for x
    x = 102,937,271.39/11,687.26
  6. Step 6: Final answer
    x = 8,807.65

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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.