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Finding the Fourth Proportional to 7,872.32, 10,863.76 and 4,335.44

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Solution

The fourth proportional to 7,872.32, 10,863.76 and 4,335.44 is: 5,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.32 : 10,863.76 = 4,335.44 : x
  2. Step 2: Convert to fraction form
    7,872.32/10,863.76 = 4,335.44/x
  3. Step 3: Cross multiply
    7,872.32x = 10,863.76 × 4,335.44
  4. Step 4: Simplify right side
    7,872.32x = 47,099,179.65
  5. Step 5: Solve for x
    x = 47,099,179.65/7,872.32
  6. Step 6: Final answer
    x = 5,982.88

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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.