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Finding the Fourth Proportional to 7,636.02, 10,535.41 and 4,942.97

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Solution

The fourth proportional to 7,636.02, 10,535.41 and 4,942.97 is: 6,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.02 : 10,535.41 = 4,942.97 : x
  2. Step 2: Convert to fraction form
    7,636.02/10,535.41 = 4,942.97/x
  3. Step 3: Cross multiply
    7,636.02x = 10,535.41 × 4,942.97
  4. Step 4: Simplify right side
    7,636.02x = 52,076,190.04
  5. Step 5: Solve for x
    x = 52,076,190.04/7,636.02
  6. Step 6: Final answer
    x = 6,819.81

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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.