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Finding the Fourth Proportional to 10,982.88, 15,163.26 and 8,460.24

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Solution

The fourth proportional to 10,982.88, 15,163.26 and 8,460.24 is: 11,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.88 : 15,163.26 = 8,460.24 : x
  2. Step 2: Convert to fraction form
    10,982.88/15,163.26 = 8,460.24/x
  3. Step 3: Cross multiply
    10,982.88x = 15,163.26 × 8,460.24
  4. Step 4: Simplify right side
    10,982.88x = 128,284,818.78
  5. Step 5: Solve for x
    x = 128,284,818.78/10,982.88
  6. Step 6: Final answer
    x = 11,680.44

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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.