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Finding the Fourth Proportional to 8,427.78, 12,641.31 and 2,881.62

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Solution

The fourth proportional to 8,427.78, 12,641.31 and 2,881.62 is: 4,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.78 : 12,641.31 = 2,881.62 : x
  2. Step 2: Convert to fraction form
    8,427.78/12,641.31 = 2,881.62/x
  3. Step 3: Cross multiply
    8,427.78x = 12,641.31 × 2,881.62
  4. Step 4: Simplify right side
    8,427.78x = 36,427,451.72
  5. Step 5: Solve for x
    x = 36,427,451.72/8,427.78
  6. Step 6: Final answer
    x = 4,322.31

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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.