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Finding the Fourth Proportional to 11,253.21, 16,879.61 and 3,857.72

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Solution

The fourth proportional to 11,253.21, 16,879.61 and 3,857.72 is: 5,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.21 : 16,879.61 = 3,857.72 : x
  2. Step 2: Convert to fraction form
    11,253.21/16,879.61 = 3,857.72/x
  3. Step 3: Cross multiply
    11,253.21x = 16,879.61 × 3,857.72
  4. Step 4: Simplify right side
    11,253.21x = 65,116,705.40
  5. Step 5: Solve for x
    x = 65,116,705.40/11,253.21
  6. Step 6: Final answer
    x = 5,786.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.