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Finding the Fourth Proportional to 11,524.68, 17,285.40 and 6,578.28

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Solution

The fourth proportional to 11,524.68, 17,285.40 and 6,578.28 is: 9,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.68 : 17,285.40 = 6,578.28 : x
  2. Step 2: Convert to fraction form
    11,524.68/17,285.40 = 6,578.28/x
  3. Step 3: Cross multiply
    11,524.68x = 17,285.40 × 6,578.28
  4. Step 4: Simplify right side
    11,524.68x = 113,708,201.11
  5. Step 5: Solve for x
    x = 113,708,201.11/11,524.68
  6. Step 6: Final answer
    x = 9,866.50

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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.