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Finding the Fourth Proportional to 8,161.85, 12,242.26 and 4,872.47

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Solution

The fourth proportional to 8,161.85, 12,242.26 and 4,872.47 is: 7,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.85 : 12,242.26 = 4,872.47 : x
  2. Step 2: Convert to fraction form
    8,161.85/12,242.26 = 4,872.47/x
  3. Step 3: Cross multiply
    8,161.85x = 12,242.26 × 4,872.47
  4. Step 4: Simplify right side
    8,161.85x = 59,649,989.46
  5. Step 5: Solve for x
    x = 59,649,989.46/8,161.85
  6. Step 6: Final answer
    x = 7,308.39

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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.