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Finding the Fourth Proportional to 11,649.88, 16,076.34 and 6,344.72

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Solution

The fourth proportional to 11,649.88, 16,076.34 and 6,344.72 is: 8,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.88 : 16,076.34 = 6,344.72 : x
  2. Step 2: Convert to fraction form
    11,649.88/16,076.34 = 6,344.72/x
  3. Step 3: Cross multiply
    11,649.88x = 16,076.34 × 6,344.72
  4. Step 4: Simplify right side
    11,649.88x = 101,999,875.92
  5. Step 5: Solve for x
    x = 101,999,875.92/11,649.88
  6. Step 6: Final answer
    x = 8,755.44

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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.