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Finding the Fourth Proportional to 6,821.24, 10,243.94 and 4,486.01

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Solution

The fourth proportional to 6,821.24, 10,243.94 and 4,486.01 is: 6,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.24 : 10,243.94 = 4,486.01 : x
  2. Step 2: Convert to fraction form
    6,821.24/10,243.94 = 4,486.01/x
  3. Step 3: Cross multiply
    6,821.24x = 10,243.94 × 4,486.01
  4. Step 4: Simplify right side
    6,821.24x = 45,954,343.63
  5. Step 5: Solve for x
    x = 45,954,343.63/6,821.24
  6. Step 6: Final answer
    x = 6,736.95

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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.