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Finding the Fourth Proportional to 11,661.63, 16,093.25 and 6,356.53

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Solution

The fourth proportional to 11,661.63, 16,093.25 and 6,356.53 is: 8,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.63 : 16,093.25 = 6,356.53 : x
  2. Step 2: Convert to fraction form
    11,661.63/16,093.25 = 6,356.53/x
  3. Step 3: Cross multiply
    11,661.63x = 16,093.25 × 6,356.53
  4. Step 4: Simplify right side
    11,661.63x = 102,297,226.42
  5. Step 5: Solve for x
    x = 102,297,226.42/11,661.63
  6. Step 6: Final answer
    x = 8,772.12

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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.