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Finding the Fourth Proportional to 7,034.11, 9,711.50 and 4,517.24

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Solution

The fourth proportional to 7,034.11, 9,711.50 and 4,517.24 is: 6,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.11 : 9,711.50 = 4,517.24 : x
  2. Step 2: Convert to fraction form
    7,034.11/9,711.50 = 4,517.24/x
  3. Step 3: Cross multiply
    7,034.11x = 9,711.50 × 4,517.24
  4. Step 4: Simplify right side
    7,034.11x = 43,869,105.12
  5. Step 5: Solve for x
    x = 43,869,105.12/7,034.11
  6. Step 6: Final answer
    x = 6,236.63

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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.