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Finding the Fourth Proportional to 7,857.41, 10,844.69 and 4,872.56

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Solution

The fourth proportional to 7,857.41, 10,844.69 and 4,872.56 is: 6,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.41 : 10,844.69 = 4,872.56 : x
  2. Step 2: Convert to fraction form
    7,857.41/10,844.69 = 4,872.56/x
  3. Step 3: Cross multiply
    7,857.41x = 10,844.69 × 4,872.56
  4. Step 4: Simplify right side
    7,857.41x = 52,841,324.12
  5. Step 5: Solve for x
    x = 52,841,324.12/7,857.41
  6. Step 6: Final answer
    x = 6,725.04

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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.