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Finding the Fourth Proportional to 7,872.27, 10,863.51 and 4,287.09

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Solution

The fourth proportional to 7,872.27, 10,863.51 and 4,287.09 is: 5,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.27 : 10,863.51 = 4,287.09 : x
  2. Step 2: Convert to fraction form
    7,872.27/10,863.51 = 4,287.09/x
  3. Step 3: Cross multiply
    7,872.27x = 10,863.51 × 4,287.09
  4. Step 4: Simplify right side
    7,872.27x = 46,572,845.09
  5. Step 5: Solve for x
    x = 46,572,845.09/7,872.27
  6. Step 6: Final answer
    x = 5,916.06

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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.