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Finding the Fourth Proportional to 11,673.67, 16,105.08 and 6,568

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Solution

The fourth proportional to 11,673.67, 16,105.08 and 6,568 is: 9,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.67 : 16,105.08 = 6,568 : x
  2. Step 2: Convert to fraction form
    11,673.67/16,105.08 = 6,568/x
  3. Step 3: Cross multiply
    11,673.67x = 16,105.08 × 6,568
  4. Step 4: Simplify right side
    11,673.67x = 105,778,165.44
  5. Step 5: Solve for x
    x = 105,778,165.44/11,673.67
  6. Step 6: Final answer
    x = 9,061.26

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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.