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Finding the Fourth Proportional to 7,872.09, 10,863.57 and 4,335.22

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Solution

The fourth proportional to 7,872.09, 10,863.57 and 4,335.22 is: 5,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.09 : 10,863.57 = 4,335.22 : x
  2. Step 2: Convert to fraction form
    7,872.09/10,863.57 = 4,335.22/x
  3. Step 3: Cross multiply
    7,872.09x = 10,863.57 × 4,335.22
  4. Step 4: Simplify right side
    7,872.09x = 47,095,965.94
  5. Step 5: Solve for x
    x = 47,095,965.94/7,872.09
  6. Step 6: Final answer
    x = 5,982.65

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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.