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Finding the Fourth Proportional to 7,635.67, 10,542.38 and 4,768.78

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Solution

The fourth proportional to 7,635.67, 10,542.38 and 4,768.78 is: 6,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.67 : 10,542.38 = 4,768.78 : x
  2. Step 2: Convert to fraction form
    7,635.67/10,542.38 = 4,768.78/x
  3. Step 3: Cross multiply
    7,635.67x = 10,542.38 × 4,768.78
  4. Step 4: Simplify right side
    7,635.67x = 50,274,287.29
  5. Step 5: Solve for x
    x = 50,274,287.29/7,635.67
  6. Step 6: Final answer
    x = 6,584.13

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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.