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Finding the Fourth Proportional to 11,213.64, 16,822.31 and 3,817.35

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Solution

The fourth proportional to 11,213.64, 16,822.31 and 3,817.35 is: 5,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.64 : 16,822.31 = 3,817.35 : x
  2. Step 2: Convert to fraction form
    11,213.64/16,822.31 = 3,817.35/x
  3. Step 3: Cross multiply
    11,213.64x = 16,822.31 × 3,817.35
  4. Step 4: Simplify right side
    11,213.64x = 64,216,625.99
  5. Step 5: Solve for x
    x = 64,216,625.99/11,213.64
  6. Step 6: Final answer
    x = 5,726.65

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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.