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Finding the Fourth Proportional to 10,052.70, 13,872.87 and 6,073.26

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Solution

The fourth proportional to 10,052.70, 13,872.87 and 6,073.26 is: 8,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.70 : 13,872.87 = 6,073.26 : x
  2. Step 2: Convert to fraction form
    10,052.70/13,872.87 = 6,073.26/x
  3. Step 3: Cross multiply
    10,052.70x = 13,872.87 × 6,073.26
  4. Step 4: Simplify right side
    10,052.70x = 84,253,546.46
  5. Step 5: Solve for x
    x = 84,253,546.46/10,052.70
  6. Step 6: Final answer
    x = 8,381.19

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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.