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Finding the Fourth Proportional to 6,822.57, 10,237.16 and 3,315.57

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Solution

The fourth proportional to 6,822.57, 10,237.16 and 3,315.57 is: 4,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.57 : 10,237.16 = 3,315.57 : x
  2. Step 2: Convert to fraction form
    6,822.57/10,237.16 = 3,315.57/x
  3. Step 3: Cross multiply
    6,822.57x = 10,237.16 × 3,315.57
  4. Step 4: Simplify right side
    6,822.57x = 33,942,004.00
  5. Step 5: Solve for x
    x = 33,942,004.00/6,822.57
  6. Step 6: Final answer
    x = 4,974.96

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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.