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Finding the Fourth Proportional to 8,539.72, 12,802 and 4,593.09

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Solution

The fourth proportional to 8,539.72, 12,802 and 4,593.09 is: 6,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.72 : 12,802 = 4,593.09 : x
  2. Step 2: Convert to fraction form
    8,539.72/12,802 = 4,593.09/x
  3. Step 3: Cross multiply
    8,539.72x = 12,802 × 4,593.09
  4. Step 4: Simplify right side
    8,539.72x = 58,800,738.18
  5. Step 5: Solve for x
    x = 58,800,738.18/8,539.72
  6. Step 6: Final answer
    x = 6,885.56

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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.