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Finding the Fourth Proportional to 10,539.86, 15,804.48 and 3,517.44

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Solution

The fourth proportional to 10,539.86, 15,804.48 and 3,517.44 is: 5,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.86 : 15,804.48 = 3,517.44 : x
  2. Step 2: Convert to fraction form
    10,539.86/15,804.48 = 3,517.44/x
  3. Step 3: Cross multiply
    10,539.86x = 15,804.48 × 3,517.44
  4. Step 4: Simplify right side
    10,539.86x = 55,591,310.13
  5. Step 5: Solve for x
    x = 55,591,310.13/10,539.86
  6. Step 6: Final answer
    x = 5,274.39

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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.