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Finding the Fourth Proportional to 11,764.68, 17,646.96 and 2,999.56

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Solution

The fourth proportional to 11,764.68, 17,646.96 and 2,999.56 is: 4,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.68 : 17,646.96 = 2,999.56 : x
  2. Step 2: Convert to fraction form
    11,764.68/17,646.96 = 2,999.56/x
  3. Step 3: Cross multiply
    11,764.68x = 17,646.96 × 2,999.56
  4. Step 4: Simplify right side
    11,764.68x = 52,933,115.34
  5. Step 5: Solve for x
    x = 52,933,115.34/11,764.68
  6. Step 6: Final answer
    x = 4,499.32

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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.