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Finding the Fourth Proportional to 4,163.12, 6,237.72 and 4,010

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Solution

The fourth proportional to 4,163.12, 6,237.72 and 4,010 is: 6,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.12 : 6,237.72 = 4,010 : x
  2. Step 2: Convert to fraction form
    4,163.12/6,237.72 = 4,010/x
  3. Step 3: Cross multiply
    4,163.12x = 6,237.72 × 4,010
  4. Step 4: Simplify right side
    4,163.12x = 25,013,257.20
  5. Step 5: Solve for x
    x = 25,013,257.20/4,163.12
  6. Step 6: Final answer
    x = 6,008.30

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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.