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Finding the Fourth Proportional to 7,873.21, 10,863.90 and 4,516.17

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Solution

The fourth proportional to 7,873.21, 10,863.90 and 4,516.17 is: 6,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.21 : 10,863.90 = 4,516.17 : x
  2. Step 2: Convert to fraction form
    7,873.21/10,863.90 = 4,516.17/x
  3. Step 3: Cross multiply
    7,873.21x = 10,863.90 × 4,516.17
  4. Step 4: Simplify right side
    7,873.21x = 49,063,164.94
  5. Step 5: Solve for x
    x = 49,063,164.94/7,873.21
  6. Step 6: Final answer
    x = 6,231.66

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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.