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Finding the Fourth Proportional to 8,418.49, 11,620.07 and 4,882.57

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Solution

The fourth proportional to 8,418.49, 11,620.07 and 4,882.57 is: 6,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.49 : 11,620.07 = 4,882.57 : x
  2. Step 2: Convert to fraction form
    8,418.49/11,620.07 = 4,882.57/x
  3. Step 3: Cross multiply
    8,418.49x = 11,620.07 × 4,882.57
  4. Step 4: Simplify right side
    8,418.49x = 56,735,780.77
  5. Step 5: Solve for x
    x = 56,735,780.77/8,418.49
  6. Step 6: Final answer
    x = 6,739.42

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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.