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Finding the Fourth Proportional to 11,717.43, 16,170.03 and 6,412.26

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Solution

The fourth proportional to 11,717.43, 16,170.03 and 6,412.26 is: 8,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.43 : 16,170.03 = 6,412.26 : x
  2. Step 2: Convert to fraction form
    11,717.43/16,170.03 = 6,412.26/x
  3. Step 3: Cross multiply
    11,717.43x = 16,170.03 × 6,412.26
  4. Step 4: Simplify right side
    11,717.43x = 103,686,436.57
  5. Step 5: Solve for x
    x = 103,686,436.57/11,717.43
  6. Step 6: Final answer
    x = 8,848.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.