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Finding the Fourth Proportional to 11,677.95, 16,115.81 and 6,372.99

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Solution

The fourth proportional to 11,677.95, 16,115.81 and 6,372.99 is: 8,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.95 : 16,115.81 = 6,372.99 : x
  2. Step 2: Convert to fraction form
    11,677.95/16,115.81 = 6,372.99/x
  3. Step 3: Cross multiply
    11,677.95x = 16,115.81 × 6,372.99
  4. Step 4: Simplify right side
    11,677.95x = 102,705,895.97
  5. Step 5: Solve for x
    x = 102,705,895.97/11,677.95
  6. Step 6: Final answer
    x = 8,794.86

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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.