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Finding the Fourth Proportional to 11,602.44, 15,999.12 and 8,241.75

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Solution

The fourth proportional to 11,602.44, 15,999.12 and 8,241.75 is: 11,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.44 : 15,999.12 = 8,241.75 : x
  2. Step 2: Convert to fraction form
    11,602.44/15,999.12 = 8,241.75/x
  3. Step 3: Cross multiply
    11,602.44x = 15,999.12 × 8,241.75
  4. Step 4: Simplify right side
    11,602.44x = 131,860,747.26
  5. Step 5: Solve for x
    x = 131,860,747.26/11,602.44
  6. Step 6: Final answer
    x = 11,364.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.