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Finding the Fourth Proportional to 11,661.86, 16,093.68 and 6,557.78

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Solution

The fourth proportional to 11,661.86, 16,093.68 and 6,557.78 is: 9,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.86 : 16,093.68 = 6,557.78 : x
  2. Step 2: Convert to fraction form
    11,661.86/16,093.68 = 6,557.78/x
  3. Step 3: Cross multiply
    11,661.86x = 16,093.68 × 6,557.78
  4. Step 4: Simplify right side
    11,661.86x = 105,538,812.83
  5. Step 5: Solve for x
    x = 105,538,812.83/11,661.86
  6. Step 6: Final answer
    x = 9,049.91

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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.