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Finding the Fourth Proportional to 11,315.26, 16,983.69 and 6,941.26

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Solution

The fourth proportional to 11,315.26, 16,983.69 and 6,941.26 is: 10,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.26 : 16,983.69 = 6,941.26 : x
  2. Step 2: Convert to fraction form
    11,315.26/16,983.69 = 6,941.26/x
  3. Step 3: Cross multiply
    11,315.26x = 16,983.69 × 6,941.26
  4. Step 4: Simplify right side
    11,315.26x = 117,888,208.05
  5. Step 5: Solve for x
    x = 117,888,208.05/11,315.26
  6. Step 6: Final answer
    x = 10,418.52

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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.