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Finding the Fourth Proportional to 11,847.66, 16,352.45 and 8,494.26

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Solution

The fourth proportional to 11,847.66, 16,352.45 and 8,494.26 is: 11,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.66 : 16,352.45 = 8,494.26 : x
  2. Step 2: Convert to fraction form
    11,847.66/16,352.45 = 8,494.26/x
  3. Step 3: Cross multiply
    11,847.66x = 16,352.45 × 8,494.26
  4. Step 4: Simplify right side
    11,847.66x = 138,901,961.94
  5. Step 5: Solve for x
    x = 138,901,961.94/11,847.66
  6. Step 6: Final answer
    x = 11,724.00

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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.