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Finding the Fourth Proportional to 11,165.42, 16,722.45 and 6,224.11

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Solution

The fourth proportional to 11,165.42, 16,722.45 and 6,224.11 is: 9,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.42 : 16,722.45 = 6,224.11 : x
  2. Step 2: Convert to fraction form
    11,165.42/16,722.45 = 6,224.11/x
  3. Step 3: Cross multiply
    11,165.42x = 16,722.45 × 6,224.11
  4. Step 4: Simplify right side
    11,165.42x = 104,082,326.46
  5. Step 5: Solve for x
    x = 104,082,326.46/11,165.42
  6. Step 6: Final answer
    x = 9,321.84

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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.