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Finding the Fourth Proportional to 11,720.64, 16,174.48 and 6,415.44

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Solution

The fourth proportional to 11,720.64, 16,174.48 and 6,415.44 is: 8,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.64 : 16,174.48 = 6,415.44 : x
  2. Step 2: Convert to fraction form
    11,720.64/16,174.48 = 6,415.44/x
  3. Step 3: Cross multiply
    11,720.64x = 16,174.48 × 6,415.44
  4. Step 4: Simplify right side
    11,720.64x = 103,766,405.97
  5. Step 5: Solve for x
    x = 103,766,405.97/11,720.64
  6. Step 6: Final answer
    x = 8,853.31

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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.