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Finding the Fourth Proportional to 11,531.28, 17,298 and 6,943.44

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Solution

The fourth proportional to 11,531.28, 17,298 and 6,943.44 is: 10,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.28 : 17,298 = 6,943.44 : x
  2. Step 2: Convert to fraction form
    11,531.28/17,298 = 6,943.44/x
  3. Step 3: Cross multiply
    11,531.28x = 17,298 × 6,943.44
  4. Step 4: Simplify right side
    11,531.28x = 120,107,625.12
  5. Step 5: Solve for x
    x = 120,107,625.12/11,531.28
  6. Step 6: Final answer
    x = 10,415.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.