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Finding the Fourth Proportional to 11,021.64, 16,527.31 and 4,000.76

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Solution

The fourth proportional to 11,021.64, 16,527.31 and 4,000.76 is: 5,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.64 : 16,527.31 = 4,000.76 : x
  2. Step 2: Convert to fraction form
    11,021.64/16,527.31 = 4,000.76/x
  3. Step 3: Cross multiply
    11,021.64x = 16,527.31 × 4,000.76
  4. Step 4: Simplify right side
    11,021.64x = 66,121,770.09
  5. Step 5: Solve for x
    x = 66,121,770.09/11,021.64
  6. Step 6: Final answer
    x = 5,999.27

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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.