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Finding the Fourth Proportional to 7,872.30, 10,863.72 and 4,335.48

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Solution

The fourth proportional to 7,872.30, 10,863.72 and 4,335.48 is: 5,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.30 : 10,863.72 = 4,335.48 : x
  2. Step 2: Convert to fraction form
    7,872.30/10,863.72 = 4,335.48/x
  3. Step 3: Cross multiply
    7,872.30x = 10,863.72 × 4,335.48
  4. Step 4: Simplify right side
    7,872.30x = 47,099,440.79
  5. Step 5: Solve for x
    x = 47,099,440.79/7,872.30
  6. Step 6: Final answer
    x = 5,982.93

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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.