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Finding the Fourth Proportional to 11,901, 16,400.73 and 8,715.27

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Solution

The fourth proportional to 11,901, 16,400.73 and 8,715.27 is: 12,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 16,400.73 = 8,715.27 : x
  2. Step 2: Convert to fraction form
    11,901/16,400.73 = 8,715.27/x
  3. Step 3: Cross multiply
    11,901x = 16,400.73 × 8,715.27
  4. Step 4: Simplify right side
    11,901x = 142,936,790.15
  5. Step 5: Solve for x
    x = 142,936,790.15/11,901
  6. Step 6: Final answer
    x = 12,010.49

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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.