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Finding the Fourth Proportional to 11,751.99, 16,217.64 and 6,446.70

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Solution

The fourth proportional to 11,751.99, 16,217.64 and 6,446.70 is: 8,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.99 : 16,217.64 = 6,446.70 : x
  2. Step 2: Convert to fraction form
    11,751.99/16,217.64 = 6,446.70/x
  3. Step 3: Cross multiply
    11,751.99x = 16,217.64 × 6,446.70
  4. Step 4: Simplify right side
    11,751.99x = 104,550,259.79
  5. Step 5: Solve for x
    x = 104,550,259.79/11,751.99
  6. Step 6: Final answer
    x = 8,896.39

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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.