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Finding the Fourth Proportional to 7,694.74, 10,617.97 and 4,711.42

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Solution

The fourth proportional to 7,694.74, 10,617.97 and 4,711.42 is: 6,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.74 : 10,617.97 = 4,711.42 : x
  2. Step 2: Convert to fraction form
    7,694.74/10,617.97 = 4,711.42/x
  3. Step 3: Cross multiply
    7,694.74x = 10,617.97 × 4,711.42
  4. Step 4: Simplify right side
    7,694.74x = 50,025,651.35
  5. Step 5: Solve for x
    x = 50,025,651.35/7,694.74
  6. Step 6: Final answer
    x = 6,501.28

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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.