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Finding the Fourth Proportional to 11,616.99, 16,031.46 and 6,311.81

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Solution

The fourth proportional to 11,616.99, 16,031.46 and 6,311.81 is: 8,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.99 : 16,031.46 = 6,311.81 : x
  2. Step 2: Convert to fraction form
    11,616.99/16,031.46 = 6,311.81/x
  3. Step 3: Cross multiply
    11,616.99x = 16,031.46 × 6,311.81
  4. Step 4: Simplify right side
    11,616.99x = 101,187,449.39
  5. Step 5: Solve for x
    x = 101,187,449.39/11,616.99
  6. Step 6: Final answer
    x = 8,710.30

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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.