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Finding the Fourth Proportional to 8,242.89, 11,375.17 and 4,466.15

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Solution

The fourth proportional to 8,242.89, 11,375.17 and 4,466.15 is: 6,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.89 : 11,375.17 = 4,466.15 : x
  2. Step 2: Convert to fraction form
    8,242.89/11,375.17 = 4,466.15/x
  3. Step 3: Cross multiply
    8,242.89x = 11,375.17 × 4,466.15
  4. Step 4: Simplify right side
    8,242.89x = 50,803,254.10
  5. Step 5: Solve for x
    x = 50,803,254.10/8,242.89
  6. Step 6: Final answer
    x = 6,163.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.