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Finding the Fourth Proportional to 11,863.26, 16,378.20 and 7,149.06

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Solution

The fourth proportional to 11,863.26, 16,378.20 and 7,149.06 is: 9,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.26 : 16,378.20 = 7,149.06 : x
  2. Step 2: Convert to fraction form
    11,863.26/16,378.20 = 7,149.06/x
  3. Step 3: Cross multiply
    11,863.26x = 16,378.20 × 7,149.06
  4. Step 4: Simplify right side
    11,863.26x = 117,088,734.49
  5. Step 5: Solve for x
    x = 117,088,734.49/11,863.26
  6. Step 6: Final answer
    x = 9,869.86

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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.