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Finding the Fourth Proportional to 7,882.35, 10,876.89 and 4,524.51

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Solution

The fourth proportional to 7,882.35, 10,876.89 and 4,524.51 is: 6,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.35 : 10,876.89 = 4,524.51 : x
  2. Step 2: Convert to fraction form
    7,882.35/10,876.89 = 4,524.51/x
  3. Step 3: Cross multiply
    7,882.35x = 10,876.89 × 4,524.51
  4. Step 4: Simplify right side
    7,882.35x = 49,212,597.57
  5. Step 5: Solve for x
    x = 49,212,597.57/7,882.35
  6. Step 6: Final answer
    x = 6,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.