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Finding the Fourth Proportional to 11,604.20, 16,014.06 and 6,299.00

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Solution

The fourth proportional to 11,604.20, 16,014.06 and 6,299.00 is: 8,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.20 : 16,014.06 = 6,299.00 : x
  2. Step 2: Convert to fraction form
    11,604.20/16,014.06 = 6,299.00/x
  3. Step 3: Cross multiply
    11,604.20x = 16,014.06 × 6,299.00
  4. Step 4: Simplify right side
    11,604.20x = 100,872,483.87
  5. Step 5: Solve for x
    x = 100,872,483.87/11,604.20
  6. Step 6: Final answer
    x = 8,692.76

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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.