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Finding the Fourth Proportional to 11,209.86, 16,782.14 and 8,737.14

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Solution

The fourth proportional to 11,209.86, 16,782.14 and 8,737.14 is: 13,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.86 : 16,782.14 = 8,737.14 : x
  2. Step 2: Convert to fraction form
    11,209.86/16,782.14 = 8,737.14/x
  3. Step 3: Cross multiply
    11,209.86x = 16,782.14 × 8,737.14
  4. Step 4: Simplify right side
    11,209.86x = 146,627,906.68
  5. Step 5: Solve for x
    x = 146,627,906.68/11,209.86
  6. Step 6: Final answer
    x = 13,080.26

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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.