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Finding the Fourth Proportional to 10,517.38, 15,754.94 and 5,236.46

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Solution

The fourth proportional to 10,517.38, 15,754.94 and 5,236.46 is: 7,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.38 : 15,754.94 = 5,236.46 : x
  2. Step 2: Convert to fraction form
    10,517.38/15,754.94 = 5,236.46/x
  3. Step 3: Cross multiply
    10,517.38x = 15,754.94 × 5,236.46
  4. Step 4: Simplify right side
    10,517.38x = 82,500,113.11
  5. Step 5: Solve for x
    x = 82,500,113.11/10,517.38
  6. Step 6: Final answer
    x = 7,844.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.