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Finding the Fourth Proportional to 6,846.67, 10,252.50 and 5,462.02

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Solution

The fourth proportional to 6,846.67, 10,252.50 and 5,462.02 is: 8,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.67 : 10,252.50 = 5,462.02 : x
  2. Step 2: Convert to fraction form
    6,846.67/10,252.50 = 5,462.02/x
  3. Step 3: Cross multiply
    6,846.67x = 10,252.50 × 5,462.02
  4. Step 4: Simplify right side
    6,846.67x = 55,999,360.05
  5. Step 5: Solve for x
    x = 55,999,360.05/6,846.67
  6. Step 6: Final answer
    x = 8,179.07

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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.