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Finding the Fourth Proportional to 11,289.88, 16,910.16 and 6,356.80

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Solution

The fourth proportional to 11,289.88, 16,910.16 and 6,356.80 is: 9,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.88 : 16,910.16 = 6,356.80 : x
  2. Step 2: Convert to fraction form
    11,289.88/16,910.16 = 6,356.80/x
  3. Step 3: Cross multiply
    11,289.88x = 16,910.16 × 6,356.80
  4. Step 4: Simplify right side
    11,289.88x = 107,494,505.09
  5. Step 5: Solve for x
    x = 107,494,505.09/11,289.88
  6. Step 6: Final answer
    x = 9,521.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.