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Finding the Fourth Proportional to 11,311.16, 16,964.52 and 3,813.99

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Solution

The fourth proportional to 11,311.16, 16,964.52 and 3,813.99 is: 5,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.16 : 16,964.52 = 3,813.99 : x
  2. Step 2: Convert to fraction form
    11,311.16/16,964.52 = 3,813.99/x
  3. Step 3: Cross multiply
    11,311.16x = 16,964.52 × 3,813.99
  4. Step 4: Simplify right side
    11,311.16x = 64,702,542.51
  5. Step 5: Solve for x
    x = 64,702,542.51/11,311.16
  6. Step 6: Final answer
    x = 5,720.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.