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Finding the Fourth Proportional to 7,642.62, 10,542.33 and 4,805.49

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Solution

The fourth proportional to 7,642.62, 10,542.33 and 4,805.49 is: 6,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.62 : 10,542.33 = 4,805.49 : x
  2. Step 2: Convert to fraction form
    7,642.62/10,542.33 = 4,805.49/x
  3. Step 3: Cross multiply
    7,642.62x = 10,542.33 × 4,805.49
  4. Step 4: Simplify right side
    7,642.62x = 50,661,107.68
  5. Step 5: Solve for x
    x = 50,661,107.68/7,642.62
  6. Step 6: Final answer
    x = 6,628.77

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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.