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Finding the Fourth Proportional to 10,052.72, 13,872.88 and 6,073.08

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Solution

The fourth proportional to 10,052.72, 13,872.88 and 6,073.08 is: 8,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.72 : 13,872.88 = 6,073.08 : x
  2. Step 2: Convert to fraction form
    10,052.72/13,872.88 = 6,073.08/x
  3. Step 3: Cross multiply
    10,052.72x = 13,872.88 × 6,073.08
  4. Step 4: Simplify right side
    10,052.72x = 84,251,110.07
  5. Step 5: Solve for x
    x = 84,251,110.07/10,052.72
  6. Step 6: Final answer
    x = 8,380.93

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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.