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Finding the Fourth Proportional to 11,381.45, 15,704.49 and 6,344.57

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Solution

The fourth proportional to 11,381.45, 15,704.49 and 6,344.57 is: 8,754.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.45 : 15,704.49 = 6,344.57 : x
  2. Step 2: Convert to fraction form
    11,381.45/15,704.49 = 6,344.57/x
  3. Step 3: Cross multiply
    11,381.45x = 15,704.49 × 6,344.57
  4. Step 4: Simplify right side
    11,381.45x = 99,638,236.12
  5. Step 5: Solve for x
    x = 99,638,236.12/11,381.45
  6. Step 6: Final answer
    x = 8,754.44

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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.