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Finding the Fourth Proportional to 8,605.92, 12,910.50 and 2,762.04

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Solution

The fourth proportional to 8,605.92, 12,910.50 and 2,762.04 is: 4,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.92 : 12,910.50 = 2,762.04 : x
  2. Step 2: Convert to fraction form
    8,605.92/12,910.50 = 2,762.04/x
  3. Step 3: Cross multiply
    8,605.92x = 12,910.50 × 2,762.04
  4. Step 4: Simplify right side
    8,605.92x = 35,659,317.42
  5. Step 5: Solve for x
    x = 35,659,317.42/8,605.92
  6. Step 6: Final answer
    x = 4,143.58

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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.