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Finding the Fourth Proportional to 7,872.35, 10,864.87 and 4,514.49

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Solution

The fourth proportional to 7,872.35, 10,864.87 and 4,514.49 is: 6,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.35 : 10,864.87 = 4,514.49 : x
  2. Step 2: Convert to fraction form
    7,872.35/10,864.87 = 4,514.49/x
  3. Step 3: Cross multiply
    7,872.35x = 10,864.87 × 4,514.49
  4. Step 4: Simplify right side
    7,872.35x = 49,049,335.68
  5. Step 5: Solve for x
    x = 49,049,335.68/7,872.35
  6. Step 6: Final answer
    x = 6,230.59

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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.