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Finding the Fourth Proportional to 11,661.84, 16,093.44 and 6,356.80

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Solution

The fourth proportional to 11,661.84, 16,093.44 and 6,356.80 is: 8,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.84 : 16,093.44 = 6,356.80 : x
  2. Step 2: Convert to fraction form
    11,661.84/16,093.44 = 6,356.80/x
  3. Step 3: Cross multiply
    11,661.84x = 16,093.44 × 6,356.80
  4. Step 4: Simplify right side
    11,661.84x = 102,302,779.39
  5. Step 5: Solve for x
    x = 102,302,779.39/11,661.84
  6. Step 6: Final answer
    x = 8,772.44

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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.