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Finding the Fourth Proportional to 8,301.50, 12,438.41 and 6,825.28

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Solution

The fourth proportional to 8,301.50, 12,438.41 and 6,825.28 is: 10,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.50 : 12,438.41 = 6,825.28 : x
  2. Step 2: Convert to fraction form
    8,301.50/12,438.41 = 6,825.28/x
  3. Step 3: Cross multiply
    8,301.50x = 12,438.41 × 6,825.28
  4. Step 4: Simplify right side
    8,301.50x = 84,895,575.02
  5. Step 5: Solve for x
    x = 84,895,575.02/8,301.50
  6. Step 6: Final answer
    x = 10,226.53

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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.