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Finding the Fourth Proportional to 11,717.57, 16,170.25 and 6,412.39

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Solution

The fourth proportional to 11,717.57, 16,170.25 and 6,412.39 is: 8,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.57 : 16,170.25 = 6,412.39 : x
  2. Step 2: Convert to fraction form
    11,717.57/16,170.25 = 6,412.39/x
  3. Step 3: Cross multiply
    11,717.57x = 16,170.25 × 6,412.39
  4. Step 4: Simplify right side
    11,717.57x = 103,689,949.40
  5. Step 5: Solve for x
    x = 103,689,949.40/11,717.57
  6. Step 6: Final answer
    x = 8,849.10

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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.