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Finding the Fourth Proportional to 8,713.44, 13,072.32 and 2,872.80

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Solution

The fourth proportional to 8,713.44, 13,072.32 and 2,872.80 is: 4,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.44 : 13,072.32 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    8,713.44/13,072.32 = 2,872.80/x
  3. Step 3: Cross multiply
    8,713.44x = 13,072.32 × 2,872.80
  4. Step 4: Simplify right side
    8,713.44x = 37,554,160.90
  5. Step 5: Solve for x
    x = 37,554,160.90/8,713.44
  6. Step 6: Final answer
    x = 4,309.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.