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Finding the Fourth Proportional to 7,286.94, 10,056.87 and 4,143.42

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Solution

The fourth proportional to 7,286.94, 10,056.87 and 4,143.42 is: 5,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.94 : 10,056.87 = 4,143.42 : x
  2. Step 2: Convert to fraction form
    7,286.94/10,056.87 = 4,143.42/x
  3. Step 3: Cross multiply
    7,286.94x = 10,056.87 × 4,143.42
  4. Step 4: Simplify right side
    7,286.94x = 41,669,836.30
  5. Step 5: Solve for x
    x = 41,669,836.30/7,286.94
  6. Step 6: Final answer
    x = 5,718.43

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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.