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Finding the Fourth Proportional to 8,509.86, 12,755.48 and 7,273.60

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Solution

The fourth proportional to 8,509.86, 12,755.48 and 7,273.60 is: 10,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.86 : 12,755.48 = 7,273.60 : x
  2. Step 2: Convert to fraction form
    8,509.86/12,755.48 = 7,273.60/x
  3. Step 3: Cross multiply
    8,509.86x = 12,755.48 × 7,273.60
  4. Step 4: Simplify right side
    8,509.86x = 92,778,191.07
  5. Step 5: Solve for x
    x = 92,778,191.07/8,509.86
  6. Step 6: Final answer
    x = 10,902.43

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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.