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Finding the Fourth Proportional to 8,996.78, 12,427.67 and 8,158.43

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Solution

The fourth proportional to 8,996.78, 12,427.67 and 8,158.43 is: 11,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.78 : 12,427.67 = 8,158.43 : x
  2. Step 2: Convert to fraction form
    8,996.78/12,427.67 = 8,158.43/x
  3. Step 3: Cross multiply
    8,996.78x = 12,427.67 × 8,158.43
  4. Step 4: Simplify right side
    8,996.78x = 101,390,327.22
  5. Step 5: Solve for x
    x = 101,390,327.22/8,996.78
  6. Step 6: Final answer
    x = 11,269.62

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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.