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Finding the Fourth Proportional to 11,649.75, 16,077.87 and 6,615.33

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Solution

The fourth proportional to 11,649.75, 16,077.87 and 6,615.33 is: 9,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.75 : 16,077.87 = 6,615.33 : x
  2. Step 2: Convert to fraction form
    11,649.75/16,077.87 = 6,615.33/x
  3. Step 3: Cross multiply
    11,649.75x = 16,077.87 × 6,615.33
  4. Step 4: Simplify right side
    11,649.75x = 106,360,415.75
  5. Step 5: Solve for x
    x = 106,360,415.75/11,649.75
  6. Step 6: Final answer
    x = 9,129.85

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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.