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Finding the Fourth Proportional to 11,895.49, 16,415.13 and 6,589.99

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Solution

The fourth proportional to 11,895.49, 16,415.13 and 6,589.99 is: 9,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.49 : 16,415.13 = 6,589.99 : x
  2. Step 2: Convert to fraction form
    11,895.49/16,415.13 = 6,589.99/x
  3. Step 3: Cross multiply
    11,895.49x = 16,415.13 × 6,589.99
  4. Step 4: Simplify right side
    11,895.49x = 108,175,542.55
  5. Step 5: Solve for x
    x = 108,175,542.55/11,895.49
  6. Step 6: Final answer
    x = 9,093.83

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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.