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Finding the Fourth Proportional to 11,604.29, 16,013.94 and 6,299.10

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Solution

The fourth proportional to 11,604.29, 16,013.94 and 6,299.10 is: 8,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.29 : 16,013.94 = 6,299.10 : x
  2. Step 2: Convert to fraction form
    11,604.29/16,013.94 = 6,299.10/x
  3. Step 3: Cross multiply
    11,604.29x = 16,013.94 × 6,299.10
  4. Step 4: Simplify right side
    11,604.29x = 100,873,409.45
  5. Step 5: Solve for x
    x = 100,873,409.45/11,604.29
  6. Step 6: Final answer
    x = 8,692.77

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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.