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Finding the Fourth Proportional to 8,427.67, 12,641.49 and 2,881.06

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Solution

The fourth proportional to 8,427.67, 12,641.49 and 2,881.06 is: 4,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.67 : 12,641.49 = 2,881.06 : x
  2. Step 2: Convert to fraction form
    8,427.67/12,641.49 = 2,881.06/x
  3. Step 3: Cross multiply
    8,427.67x = 12,641.49 × 2,881.06
  4. Step 4: Simplify right side
    8,427.67x = 36,420,859.58
  5. Step 5: Solve for x
    x = 36,420,859.58/8,427.67
  6. Step 6: Final answer
    x = 4,321.58

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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.