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Finding the Fourth Proportional to 8,807.50, 13,201.94 and 3,257.28

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Solution

The fourth proportional to 8,807.50, 13,201.94 and 3,257.28 is: 4,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.50 : 13,201.94 = 3,257.28 : x
  2. Step 2: Convert to fraction form
    8,807.50/13,201.94 = 3,257.28/x
  3. Step 3: Cross multiply
    8,807.50x = 13,201.94 × 3,257.28
  4. Step 4: Simplify right side
    8,807.50x = 43,002,415.12
  5. Step 5: Solve for x
    x = 43,002,415.12/8,807.50
  6. Step 6: Final answer
    x = 4,882.48

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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.