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Finding the Fourth Proportional to 11,538.95, 17,308.42 and 2,773.86

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Solution

The fourth proportional to 11,538.95, 17,308.42 and 2,773.86 is: 4,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.95 : 17,308.42 = 2,773.86 : x
  2. Step 2: Convert to fraction form
    11,538.95/17,308.42 = 2,773.86/x
  3. Step 3: Cross multiply
    11,538.95x = 17,308.42 × 2,773.86
  4. Step 4: Simplify right side
    11,538.95x = 48,011,120.03
  5. Step 5: Solve for x
    x = 48,011,120.03/11,538.95
  6. Step 6: Final answer
    x = 4,160.79

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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.