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Finding the Fourth Proportional to 7,871.91, 10,863.03 and 4,516.71

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Solution

The fourth proportional to 7,871.91, 10,863.03 and 4,516.71 is: 6,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.91 : 10,863.03 = 4,516.71 : x
  2. Step 2: Convert to fraction form
    7,871.91/10,863.03 = 4,516.71/x
  3. Step 3: Cross multiply
    7,871.91x = 10,863.03 × 4,516.71
  4. Step 4: Simplify right side
    7,871.91x = 49,065,156.23
  5. Step 5: Solve for x
    x = 49,065,156.23/7,871.91
  6. Step 6: Final answer
    x = 6,232.94

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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.