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Finding the Fourth Proportional to 11,681.91, 16,121.07 and 6,376.77

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Solution

The fourth proportional to 11,681.91, 16,121.07 and 6,376.77 is: 8,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.91 : 16,121.07 = 6,376.77 : x
  2. Step 2: Convert to fraction form
    11,681.91/16,121.07 = 6,376.77/x
  3. Step 3: Cross multiply
    11,681.91x = 16,121.07 × 6,376.77
  4. Step 4: Simplify right side
    11,681.91x = 102,800,355.54
  5. Step 5: Solve for x
    x = 102,800,355.54/11,681.91
  6. Step 6: Final answer
    x = 8,799.96

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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.