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Finding the Fourth Proportional to 12,711.42, 19,072.62 and 6,872.16

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Solution

The fourth proportional to 12,711.42, 19,072.62 and 6,872.16 is: 10,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.42 : 19,072.62 = 6,872.16 : x
  2. Step 2: Convert to fraction form
    12,711.42/19,072.62 = 6,872.16/x
  3. Step 3: Cross multiply
    12,711.42x = 19,072.62 × 6,872.16
  4. Step 4: Simplify right side
    12,711.42x = 131,070,096.26
  5. Step 5: Solve for x
    x = 131,070,096.26/12,711.42
  6. Step 6: Final answer
    x = 10,311.21

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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.