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Finding the Fourth Proportional to 11,600.44, 16,008.64 and 6,295.25

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Solution

The fourth proportional to 11,600.44, 16,008.64 and 6,295.25 is: 8,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.44 : 16,008.64 = 6,295.25 : x
  2. Step 2: Convert to fraction form
    11,600.44/16,008.64 = 6,295.25/x
  3. Step 3: Cross multiply
    11,600.44x = 16,008.64 × 6,295.25
  4. Step 4: Simplify right side
    11,600.44x = 100,778,415.24
  5. Step 5: Solve for x
    x = 100,778,415.24/11,600.44
  6. Step 6: Final answer
    x = 8,687.47

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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.