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Finding the Fourth Proportional to 12,509.75, 17,265.77 and 8,039.09

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Solution

The fourth proportional to 12,509.75, 17,265.77 and 8,039.09 is: 11,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.75 : 17,265.77 = 8,039.09 : x
  2. Step 2: Convert to fraction form
    12,509.75/17,265.77 = 8,039.09/x
  3. Step 3: Cross multiply
    12,509.75x = 17,265.77 × 8,039.09
  4. Step 4: Simplify right side
    12,509.75x = 138,800,952.43
  5. Step 5: Solve for x
    x = 138,800,952.43/12,509.75
  6. Step 6: Final answer
    x = 11,095.43

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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.