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Finding the Fourth Proportional to 11,752.39, 16,217.52 and 6,446.18

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Solution

The fourth proportional to 11,752.39, 16,217.52 and 6,446.18 is: 8,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.39 : 16,217.52 = 6,446.18 : x
  2. Step 2: Convert to fraction form
    11,752.39/16,217.52 = 6,446.18/x
  3. Step 3: Cross multiply
    11,752.39x = 16,217.52 × 6,446.18
  4. Step 4: Simplify right side
    11,752.39x = 104,541,069.44
  5. Step 5: Solve for x
    x = 104,541,069.44/11,752.39
  6. Step 6: Final answer
    x = 8,895.30

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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.