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Finding the Fourth Proportional to 11,659.44, 16,094.52 and 8,540.40

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Solution

The fourth proportional to 11,659.44, 16,094.52 and 8,540.40 is: 11,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.44 : 16,094.52 = 8,540.40 : x
  2. Step 2: Convert to fraction form
    11,659.44/16,094.52 = 8,540.40/x
  3. Step 3: Cross multiply
    11,659.44x = 16,094.52 × 8,540.40
  4. Step 4: Simplify right side
    11,659.44x = 137,453,638.61
  5. Step 5: Solve for x
    x = 137,453,638.61/11,659.44
  6. Step 6: Final answer
    x = 11,789.04

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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.